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Cheat Sheets || Questions by Topic || Worksheets

This topic is included in Papers 1 & 2 for AS-level Edexcel Maths and Papers 1, 2 & 3 for A-level Edexcel Maths .

Cheat Sheets

  • Ch.10 Trignometric Identities
  • Ch.9 Trigonometric Ratios
  • Ch.5 Radians
  • Ch.6 Trigonometric Functions
  • Ch.7 Trigonometry and Modelling

Questions by Topic

Year 1 (2018-2021 papers), question papers & ms.

  • Sine and Cosine Rule
  • Small Angle Approximations
  • Trigonometric Equations
  • Trigonometric Identities

Model Answers

  • Sine and Cosine Rule MA
  • Small Angle Approximations MA
  • Trigonometric Equations MA
  • Trigonometric Identities MA

Video Solutions

  • Sine and Cosine Rule VS
  • Small Angle Approximations VS
  • Trigonometric Equations VS
  • Trigonometric Identities VS

Year 2 (2018-2021 papers)

  • Modelling with Trigonometric Functions
  • Modelling with Trigonometric Functions MA
  • Modelling with Trigonometric Functions VS

Year 1 (pre-2018 papers)

  • Trigonometric Graphs

Year 2 (pre-2018 papers)

  • Arc length and Sector area
  • Trigonometric Formulae
  • Trigonometric Identities 1
  • Trigonometric Identities 2
  • Trigonometrical Formulae and Equations

These are Solomon Press worksheets. They were written for the outgoing specification but we have carefully selected ones which are relevant to the new specification.

  • 1a. The sine rule and the cosine rule
  • 1b. The sine rule and the cosine rule - Answers
  • 2a. Trigonometric ratios and graphs
  • 2b. Trigonometric ratios and graphs - Answers
  • 3a. Using trigonometric identities
  • 3b. Using trigonometric identities - Answers
  • 4a. Trigonometric Equations
  • 4b. Trigonometric Equations - Answers
  • 01a. Radians, arcs and sectors
  • 01b. Radians, arcs and sectors - Answers
  • 02a. Radians, arcs and sectors − further questions
  • 02b. Radians, arcs and sectors − further questions - Answers
  • 03a. Inverse trigonometric functions
  • 03b. Inverse trigonometric functions - Answers
  • 04a. Secant, cosecant and cotangent
  • 04b. Secant, cosecant and cotangent - Answers
  • 05a. Pythagorean identities
  • 05b. Pythagorean identities - Answers
  • 06a. Addition and double angle formulae
  • 06b. Addition and double angle formulae - Answers
  • 07a. The expression a cos x + b sin x
  • 07b. The expression a cos x + b sin x - Answers
  • 08a. Factor formulae
  • 08b. Factor formulae - Answers
  • 09a. Trigonometry − further questions
  • 09b. Trigonometry − further questions - Answers
  • 10a. Mixed exam-style questions on trigonometry
  • 10b. Mixed exam-style questions on trigonometry - Answers
  • 11a. Mixed exam-style questions on trigonometry
  • 11b. Mixed exam-style questions on trigonometry - Answers
  • 12a. Mixed exam-style questions on trigonometry
  • 12b. Mixed exam-style questions on trigonometry - Answers
  • 13a. Mixed exam-style questions on trigonometry
  • 13b. Mixed exam-style questions on trigonometry - Answers

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Unit 4: Trigonometric equations and identities

About this unit, inverse trigonometric functions.

  • Intro to arcsine (Opens a modal)
  • Intro to arctangent (Opens a modal)
  • Intro to arccosine (Opens a modal)
  • Restricting domains of functions to make them invertible (Opens a modal)
  • Domain & range of inverse tangent function (Opens a modal)
  • Using inverse trig functions with a calculator (Opens a modal)
  • Inverse trigonometric functions review (Opens a modal)
  • Trigonometric equations and identities: FAQ (Opens a modal)
  • Evaluate inverse trig functions Get 3 of 4 questions to level up!

Sinusoidal equations

  • Solving sinusoidal equations of the form sin(x)=d (Opens a modal)
  • Cosine equation algebraic solution set (Opens a modal)
  • Cosine equation solution set in an interval (Opens a modal)
  • Sine equation algebraic solution set (Opens a modal)
  • Solving cos(θ)=1 and cos(θ)=-1 (Opens a modal)
  • Solve sinusoidal equations (basic) Get 3 of 4 questions to level up!
  • Solve sinusoidal equations Get 3 of 4 questions to level up!

Sinusoidal models

  • Interpreting solutions of trigonometric equations (Opens a modal)
  • Trig word problem: solving for temperature (Opens a modal)
  • Trigonometric equations review (Opens a modal)
  • Interpret solutions of trigonometric equations in context Get 3 of 4 questions to level up!
  • Sinusoidal models word problems Get 3 of 4 questions to level up!

Angle addition identities

  • Trig angle addition identities (Opens a modal)
  • Using the cosine angle addition identity (Opens a modal)
  • Using the cosine double-angle identity (Opens a modal)
  • Proof of the sine angle addition identity (Opens a modal)
  • Proof of the cosine angle addition identity (Opens a modal)
  • Proof of the tangent angle sum and difference identities (Opens a modal)
  • Using the trig angle addition identities Get 3 of 4 questions to level up!

Using trigonometric identities

  • Finding trig values using angle addition identities (Opens a modal)
  • Using the tangent angle addition identity (Opens a modal)
  • Using trig angle addition identities: finding side lengths (Opens a modal)
  • Using trig angle addition identities: manipulating expressions (Opens a modal)
  • Using trigonometric identities (Opens a modal)
  • Trig identity reference (Opens a modal)
  • Find trig values using angle addition identities Get 3 of 4 questions to level up!

Challenging trigonometry problems

  • Trig challenge problem: area of a triangle (Opens a modal)
  • Trig challenge problem: area of a hexagon (Opens a modal)
  • Trig challenge problem: cosine of angle-sum (Opens a modal)
  • Trig challenge problem: arithmetic progression (Opens a modal)
  • Trig challenge problem: maximum value (Opens a modal)
  • Trig challenge problem: multiple constraints (Opens a modal)
  • Trig challenge problem: system of equations (Opens a modal)

A Level Maths

A Level Maths

Maths A-Level Resources for AQA, OCR and Edexcel

Solving Trigonometric Equations

To solve trigonometric equations, several identities and formulas are used i.e:

tan\theta \quad =\quad \frac { sin\theta }{ cos\theta }

For basic trigonometric equations, we follow the following steps to solve them: 1.    Make sine, cosine or tangent the subject. 2.    Use any method including a calculator to find basic angles. 3.    Using quadrants, find all solutions in the given range.

cos\theta \quad =\quad \frac { 1 }{ 2 }

Trigonometric Identities

Refer to Fig 1.

solving trig equations a level maths

We know that:

sin\theta \quad =\quad \frac { y }{ r } \quad \quad \Rightarrow \quad 1\quad

Dividing 1 by 2 we get:

This is called an ”Identity”.

{ x }^{ 2 }\quad +\quad { y }^{ 2 }\quad =\quad { r }^{ 2 }

These identities are very useful when solving many trigonometric equations.

tan^{ 2 }\theta \quad -\quad { sin }^{ 2 }\theta \quad =\quad \frac { { sin }^{ 4 }\theta }{ { cos }^{ 2 }\theta }

Taking left hand side only:

=\quad tan^{ 2 }\theta \quad -\quad { sin }^{ 2 }\theta

Other trigonometric Formulas

Similarly, there are a few other formulas that help solve trigonometric equation:

solving trig equations a level maths

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Trigonometry

Trigonometry A-Level Maths Revision Section on Revision Maths covers: Sine and Cosine Rule, Radians, Sin, Cos & Tan, Solving Basic Equations, Sec, Cosec & Cot, Pythagorean Identities, Compound Angle Formulae and Solving Trigonometric Equations.

  • Sine and Cosine Rule
  • Sin, Cos and Tan
  • Solving Basic Equations
  • Sec, Cosec and Cot
  • Pythagorean Identities
  • Compound Angle Formulae
  • Solving Trigonometric Equations

solving trig equations a level maths

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Solving Trig Equations

Solving trigonometric equations.

Homogenous Trigonometric Equations

  • To solve equations with a single trigonometric function, begin by isolating the function if necessary.
  • Draw a circle with labelled quadrants and use it to determine all potential solutions.

Non-Homogenous Trigonometric Equations

  • These are equations with more than one different trigonometric function. Convert these to homogenous equations using key identities such as tan(x) = sin(x)/cos(x) or the Pythagorean identities.

Trigonometric Equations with Coefficients

  • If the equation includes a coefficient on the angle, for example sin(2x), this means the function completes 2 cycles in the span typically covered by one cycle. Adjust your solutions accordingly.

Trigonometric Equations with Phase Shift

  • A phase shift is indicated by an addition or subtraction inside the function, e.g., sin(x + π/3). Adjust your solutions to account for these shifts.

Systems of Trigonometric Equations

  • If presented with more than one equation, solve them as a system, much like linear or quadratic systems.
  • Use substitution or elimination methods to find solutions that satisfy all equations in the system.

Quadratic Trigonometric Equations

  • Apply your knowledge from solving quadratic equations. Factor, complete the square, or use the quadratic formula.
  • Remember that the solutions to the equation sin^2(x) = a are the solutions to sin(x) = √a and sin(x) = -√a.

Remember: Always express your solution in the interval requested in the question, often between 0 and 2π unless specify otherwise. Ensure you find all possible solutions within the given interval.

solving trig equations a level maths

Beyond GCSE Revision

Gcse-grade revision from beyond, powered by twinkl, solving trigonometric equations – a level maths revision.

Solving trigonometric equations

There aren’t any complicated equations when it comes to sourcing your A Level Maths revision – simply sticking with Beyond will equal a great learning experience as proved with this post on solving trigonometric equations.

What are Trigonometric Equations?

A trigonometric equation is an equation where a trigonometric function has been applied to the variable.

For the most part, they are solved like a normal equation – do the inverse of each operation to both sides of the equation, in the correct order, until you have the variable on it’s on just one side of the equals sign.

The difference is, unlike operations such as addition or multiplication, trigonometric functions are not one-to-one – they are periodic. This is something you must take into account when solving trigonometric equations.

This revision blog will run through the process of solving trigonometric equations, with a few practice questions and answers at the end.

If you want to see the information contained, with more questions , in PDF or PowerPoint form, click here. If you want to practise some of the prior-knowledge from GCSE, try this multiple-choice quiz . Once you’re ready, try these exam-style questions on all AS-level trigonometry.

You should already know how to use the three trigonometric ratios – sine, cosine and tangent – to find missing angles or sides in a triangle using the graphs for each of the ratios.

The graphs are periodic, which means that they repeat after a certain interval. The sin and cos functions have a period of 360° and the tan function has a period of 180°.

Sine graph

Cosine Graph

Cosine graph

Tangent Graph

Tangent graph

This means that there is often more than one solution to a trigonometric equation.

For example, if cos x = 1, x could be 0° or 360° or -360°. There’s an infinite amount of solutions to the equation. In this case, you can keep adding or subtracting 360° to get a new solution. To limit this, there is usually an interval in which you need to find all the solutions, for example 0° ≤ x ≤ 360°.

This doesn’t always necessarily mean that there is a unique solution in that interval. Usually, you will still need to find equivalent solutions.

In some cases, there are no solutions to trigonometric equations, for example sin x = 2 has no solutions since sin x only takes values between -1 and 1.

If you consider sin x = 0.5, you can use the graphs of y = sin x and y = 0.5 to look for solutions in the range -360° ≤ x ≤ 360°.

Solving trigonometric equations - sinx = 2

You can see that there are 4 solutions in this interval. A calculator will give the first one, x = 30° and you can use the symmetry of the graph to find the others.

Between x = 0° and x = 180°, the graph of y = sin x is symmetrical about x = 90°. The first result, x = 30°, is 60° less than 90° therefore the next result with be 60° greater than 90°, x = 150°.

To find the others, use the fact that y = sin x is periodic, with a period of 360°: you can simply take 360° from each of the solutions.

This means the four solutions are x = -330°, -210°, 30° and 150°, for -360° ≤ x ≤ 360°.

Solving trigonometric equations is just one topic with which we lend our helping hand. You can find a greater range of supportive A Level Maths resources right here :

A Level Maths resources

Solving Trigonometric Equations – Example Question 1

Solve sin θ = 0.668 for 0° ≤ θ ≤ 720°, giving your answer in degrees correct to 1 decimal place.

The symbol θ is a Greek letter and is pronounced theta. It is commonly used to represent an angle.

Start by finding the base solution – the one your calculator gives you:

\theta = sin^{-1} (0.668) = 41.9^{\circ} \text{ (1d.p.)}

Then, consider the sine graph to help you find the other solutions. You can see from the graph that there are 4 solutions in the given interval.

Solving trigonometric equations - example question 1

Use the symmetry of the graph to find the second positive solution. You can see that solution 2 is the same distance from 180° as solution 1 is from 0°, so solution 2 is:

180 - 41.9 = 138.1^{\circ} \text{ (1d.p.)}

You can then use the periodic nature of the graph to find solutions 3 and 4. Since the graph repeats every 360°, you can add 360° to the existing solutions to find others in the given interval. So, solutions 3 and 4 are:

41.9 + 360 = 401.9^{\circ} \text{ (1d.p.)}\\138.1 + 360 = 498.1^{\circ} \text{ (1d.p.)}

Therefore, the solutions in the interval 0° ≤ θ ≤ 720° are:

\theta = 41.9^{\circ}, 138.1^{\circ}, 401.9^{\circ}, 498.1^{\circ} \text{ (1d.p.)}

Example Question 2

\boldsymbol{2tanx=3}

First, we need to rearrange this equation to make tan x the subject:

2\tan{x}=3 \\ \tan{x}=1.5

As in example 1, start by finding the base solution:

x = \tan{^{-1}}1.5 = 56.3^{\circ} \text{ (3s.f.)}

Unlike the sine and cosine graph, the tangent graph has a period of 180°, so you can simply add or subtract 180° to the base solution. Solution 2 is:

56.3 + 180 = 236^{\circ} \text{ (3s.f.)}

Example Question 3

\boldsymbol{5\cos{y} + 7 = 10}

Start by rearranging the equation so it is in a similar for to the previous questions:

5\cos{y} + 7 = 10 \\ 5\cos{y} = 3 \\ \cos{y} = 0.6

Next, find the base solution:

y = \cos{^{-1}}(0.6) = 53.1^{\circ}

Then, consider the cosine graph for the given interval to look for other solutions:

Example question 3

Use the symmetry of the graph to find the second positive solution. You can see that solution 2 is the same distance from 360° as solution 1 is from 0°, so solution 2 is:

360-53.1=306.9^{\circ} \text{ (1d.p.)}

You can then use the periodic nature of the graph to find solutions 3 and 4. Since the graph repeats every 360°, you can add or subtract 360° from your existing solutions to find others in the given interval. Therefore, solutions 3 and 4 are:

53.1 -360 =-306.9^{\circ} \text{ (1d.p.) and } \\306.9-360=-53.1^{\circ} \text{ (1d.p.)}

And the solutions, in the interval -360° ≤ y ≤ 360°, are:

y = -306.9^{\circ}, -53.1^{\circ}, 53.1^{\circ} \text{ and } 306.9^{\circ} \text{ (1d.p.)}

Example Question 4

\boldsymbol{\sin{(2x)} = -0.7}

Therefore, you need to solve sinθ = -0.7 for 0° ≤ θ ≤ 720°.

Start by finding the base solution:

\sin{}^{-1}(-0.7) = -44.4

Note that, in this case, the base solution is outside of the interval, but you can continue in the same method to find 4 solutions within the interval.

Subtract the base solution from 180° to find the second solution:

180 - - 44.4 = 224.4^{\circ}

Then add 360° to each of the 2 solutions to find the others:

360 + -44.4 = 315.6^{\circ} \\ 360 + 224.4 = 584.4^{\circ}

You now have four solutions, but only three are within the given interval. To get the fourth solution, add add 360° to 315.6°. Don’t add it to 584.4° as this will take you above 720°.

360 + 315.6 = 675.6^{\circ}

Example Question 5

\boldsymbol{4\cos{(3x-15)}-1=1}

Therefore, 60° and 300° are the first two solutions.

Now, simply add 360° to each:

60 + 360 = 420^{\circ} \\ 300 + 360 = 660^{\circ}

660° is outside the interval so you can ignore it. You also need to subtract 360° from the first two solutions:

60 - 360 = -300^{\circ} \\ 300 - 360 = -60^{\circ}

There is one more solution to be found. Do this by subtracting 360° from -60°.

-60 - 360 = -420^{\circ}

The means the solutions for θ are: -420°, -300°, -60°, 60°, 300° and 420°.

x = -135^{\circ}, -95^{\circ}, -15^{\circ}, 25^{\circ}, 105^{\circ} \text{ and }145^{\circ}

Solving Trigonometric Equations – Practice Questions

Here’s some to try yourself. Solve each of the trigonometric equations for 0° ≤ y ≤ 180°.

\sin{y} = 0.3

a. y = 17.5° and 162° (3s.f.)

b. y = 63.4° (3s.f.)

d. y = 23.6° and 156.4°

e. y = 12.1°, 72.1° and 132.1°

Don’t forget to read even more of our blogs  here ! You can also  subscribe to Beyond  for access to thousands of secondary teaching resources. You can  sign up for a free account here  and take a look around  at our free resources  before you subscribe too.

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AS ONLY E7: Trigonometric Equations

Home > A-Level Maths > AS ONLY > E: Trigonometry > E7: Trigonometric Equations

From the DfE Mathematics AS and A-Level Content ( LINK ):

solving trig equations a level maths

Basic Trigonometric Equations

E7-00 [trig equations: introduction to this section].

E7-01 [Trig Equations: Solve sin(x) = 1/2 between 0 and 360 degrees]

E7-03 [Trig Equations: Solve cos(x) = 1/2 between 0 and 360 degrees]

E7-05 [Trig Equations: Solve tan(x) = 1 between 0 and 360 degrees]

E7-07 [Trig Equations: Solving Basic Trigonometric Equations in degrees]

E7-09 [Trig Equations: Solve 1/cos(x) = 5 between 0 and 360 degrees]

E7-10 [Trig Equations: Solve 1/cos(x) = 5 between 360 and 720 degrees]

E7-13 [Trig Equations: Solve sin^2(x) = 1/16 between 0 and 360 degrees]

Quadratic Trigonometric Equations

E7-15 [trig equations: solve 4x^2 = x].

E7-16 [Trig Equations: Solve 4sin^2(x) = sin(x) between 0 and 360 degrees]

Using tan(x) = sin(x) / cos(x)

E7-18 [trig equations: solve 4sin(x) + 5cos(x) = 0 between 0 and 360 degrees].

Trigonometric Equations with Transformations

E7-20 [trig equations: solving equations that involve transformations].

E7-21 [Trig Equations: Solve sin(x + 65) = 0.7 between 0 and 360 degrees]

E7-23 [Trig Equations: Solve cos(x - 35) = -0.3 between 0 and 360 degrees]

E7-25 [Trig Equations: Solve tan(x + 280) = 4.1 between 0 and 360 degrees]

E7-27 [Trig Equations: Solve sin(2x) = 0.8 between 0 and 360 degrees]

E7-29 [Trig Equations: Solve cos(3x) = 0.7 between 0 and 360 degrees]

E7-31 [Trig Equations: Solve tan(4x) = 3.3 between 0 and 360 degrees]

E7-33 [Trig Equations: Solve sin(3x-54) = 0.25 between 180 and 540 degrees]

More Quadratic Trigonometric Equations

E7-35 [trig equations: solve sin^2(x) + 2sin(x) - 3 = 0, 0-360 degrees].

E7-37 [Trig Equations: Solve 5tan^2(x) - 38tan(x) - 16 = 0, 0-360 degrees]

Using sin^2 (x) + cos^2 (x) = 1

E7-39 [trig equations: solve 3sin^2(x) = 3 - 2cos(x) between 0 and 360 degrees].

E7-41 [Trig Equations: Solve 3sin(x) = 2cos^2(x) between 0 and 360 degrees]

E7-43 [Trig Equations: Solve 7sin^2(x) - 5sin(x) + cos^2(x) = 0, 0-360 degrees]

sin(x) and cos(x) as Transformations of one another

E7-45 [trig equations: things to remember about y = sin(x) and y = cos(x)].

E7-46 [Trig Equations: Solve cos(x + 60) = sin(x) between 0 and 360 degrees]

E7-48 [Trig Equations: Solve sin(x - 35) = cos(x) between 0 and 360 degrees]

Maths Genie

A Level (Edexcel)

A Level Maths questions arranged by topic. Formula Book Edexcel AS and A Level Data Set

solving trig equations a level maths

AS Pure Mathematics

As mechanics and statistics, a level pure mathematics, a level mechanics and statistics, other links.

Creative Commons Licence

Copyright © Maths Genie. Maths Genie Limited is a company registered in England and Wales with company number 14341280. Registered Office: 143 Lynwood, Folkestone, Kent, CT19 5DF.

IMAGES

  1. Solving trig equations part 3 iGCSE 9 1, Additional maths, A Level

    solving trig equations a level maths

  2. Trigonometric Functions with Their Formulas

    solving trig equations a level maths

  3. 5.5B Solving Trig Equations with Factoring

    solving trig equations a level maths

  4. Trigonometric Equations Formula with Worksheets

    solving trig equations a level maths

  5. CAST Diagrams In Different Intervals

    solving trig equations a level maths

  6. A Level Maths

    solving trig equations a level maths

VIDEO

  1. The Maths Prof: Solving Trig Equations (with multiple solutions) PART 2

  2. Solving trig equations (unit 2 revision sheet)

  3. Solving complicated trig equations

  4. Solving Trig Equations Using Identities

  5. Solving Trigonometric Equations

  6. Solving Trig Equations

COMMENTS

  1. Trigonometry Revision

    Trigonometric Equations Trigonometric Identities Model Answers Sine and Cosine Rule MA Small Angle Approximations MA Trigonometric Equations MA Trigonometric Identities MA Video Solutions Sine and Cosine Rule VS Small Angle Approximations VS Trigonometric Equations VS Trigonometric Identities VS Year 2 (2018-2021 papers) Question Papers & MS

  2. Solving Trigonometric Equations

    Solving trigonometric equations - from the basics to more challenging problems. This is a large topic but with practice and a good understanding of the funda...

  3. Solving Trigonometric Equations

    The various trigonometric formulae and identities can be used to help solve trigonometric equations. Here is a summary of the most important trigonometric formulae you should know: sin 2 x + cos 2 x = 1 1 + cot 2 x = cosec 2 x tan 2 x + 1 = sec 2 x cos2x = cos 2 x - sin 2 x = 2cos 2 x - 1 = 1 - 2sin 2 x sin2x = 2sinx cosx tanx = sinx cosx

  4. Trigonometric equations and identities

    You'll learn how to use trigonometric functions, their inverses, and various identities to solve and check equations and inequalities, and to model and analyze problems involving periodic motion, sound, light, and more. Inverse trigonometric functions Learn Intro to arcsine Intro to arctangent Intro to arccosine

  5. Trig Equations

    Solving the basic trig equations is pretty easy, but what happens if we've got a function which has been stretched or translated? Make sure you are happy with the following topics before continuing. Trig Graphs A Level AQA Edexcel OCR Inspection First, we need to find an initial solution.

  6. Solving Trigonometric Equations

    To solve trigonometric equations, several identities and formulas are used i.e: For basic trigonometric equations, we follow the following steps to solve them: 1. Make sine, cosine or tangent the subject. 2. Use any method including a calculator to find basic angles. 3. Using quadrants, find all solutions in the given range. Example #1

  7. PDF AS/A Level Mathematics Solving Trigonometric Equations

    Advice Read each question carefully before you start to answer it. Try to answer every question. Check your answers if you have time at the end. mathsgenie.co.uk 1 Solve, for 0 ≤ x < 180o, the equation, cos(2x + 15) = 0.3 Give your answers to one decimal place. (Total for question 1 is 5 marks)

  8. Trigonometry

    Trigonometry A-Level Maths Revision Section covering: Sine and Cosine Rule, Radians, Sin, Cos & Tan, Solving Basic Equations, Sec, Cosec & Cot, Pythagorean Identities, Compound Angle Formulae and Solving Trigonometric Equations.

  9. Introduction to Solving Trig Equations

    In this A-Level Maths video I'll show you how to solve simple trig equations! More complex equations: https://youtu.be/VJ31_oFS1G0Timestamps: 0:00 Intro0:28 ...

  10. Solving Trig Equations

    Factor, complete the square, or use the quadratic formula. Remember that the solutions to the equation sin^2 (x) = a are the solutions to sin (x) = √a and sin (x) = -√a. Remember: Always express your solution in the interval requested in the question, often between 0 and 2π unless specify otherwise. Ensure you find all possible solutions ...

  11. Trigonometric Equations

    Trigonometric Equations in a Snap! Unlock the full A-level Maths course at http://bit.ly/32Nvtur created by Lewis Croney, Maths expert at SnapRevise.SnapRevi...

  12. Maths Genie

    KS2 Revision Resources Pure Maths - Solving Trigonometric Equations Maths revision video and notes on the topic of solving trigonometric equations in degrees and radians.

  13. 5.3.4 Strategy for Trigonometric Equations

    You can solve trig equations in a variety of different ways Sketching a graph (see Graphs of Trigonometric Functions) Using trigonometric identities (see Trigonometry - Simple Identities) Using the CAST diagram (see Linear Trigonometric Equations) Factorising quadratic trig equations (see Quadratic Trigonometric Equations)

  14. Solving Trigonometric Equations

    This means the four solutions are x = -330°, -210°, 30° and 150°, for -360° ≤ x ≤ 360°. Solving trigonometric equations is just one topic with which we lend our helping hand. You can find a greater range of supportive A Level Maths resources right here: Solving Trigonometric Equations - Example Question 1

  15. Maths Genie

    A Level Pure Maths - Trigonometry. Maths revision videos and notes on the topics of radian measures, solving trigonometric equations, trigonometric identities, small angle approximations, addition formaulae, double angle formulae and the r formulae.

  16. TLMaths

    From the DfE Mathematics AS and A-Level Content : Basic Trigonometric Equations. E7-00 [Trig Equations: Introduction to this Section] E7-01 [Trig Equations: Solve sin(x) = 1/2 between 0 and 360 degrees] ... E7-18 [Trig Equations: Solve 4sin(x) + 5cos(x) = 0 between 0 and 360 degrees]

  17. 3.4.2 Linear Trigonometric Equations

    Another way to find solutions is by using the CAST diagram which shows where each function has positive solutions. You may be asked to use degrees or radians to solve trigonometric equations. Make sure your calculator is in the correct mode. Remember common angles. 90° is ½π radians. 180° is π radians. 270° is 3π/2 radians.

  18. 3.3.1 Strategy for Further Trigonometric Equations

    How to approach solving harder trig equations. You can solve harder trig equations, such as those involving reciprocal and inverse functions in a variety of different ways . Using further trigonometric identities; Using compound or double angle formulas; Factorising quadratic trig equations; Then finding all solutions using CAST or sketching graphs; The final rearranged equation you solve will ...

  19. A-Level Maths: E7-07 [Trig Equations: Solving Basic ...

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  20. Maths Genie

    Maths Genie - AS and A Level Maths revision page including revision videos, exam questions and model solutions. ... Equations and Inequalities: Videos: Quadratics Inequalities and Simultaneous Equations ... Videos: The Equation of a Line: Solutions: Circles: Videos: The Equation of a Circle: Solutions: Trigonometry: Videos: Solving ...

  21. Edexcel A level Maths: 7.4 Solving Trigonometric Equations

    How to solve trigonometric equations using the Quadrant Rule ExamSolutions 215K views All of Trigonometric Ratios in 30 Minutes!! | Chapter 9 | A-Level Pure Maths Revision The GCSE...

  22. Course Description

    trigonometry including definitions, identities, inverse functions, solutions of equations, graphing, and solving triangles. Additional topics such as vectors, polar coordinates and parametric equations may be included. Required Prerequisite: MATH-1314 with a minimum grade of C or appropriate score on the college level mathematics placement test.

  23. Trigonometric Equations

    FREE Maths revision notes on the topic: Basic Trigonometry. Designed by expert SAVE MY EXAMS teachers for the Edexcel A Level Maths: Pure exam. FREE Maths revision notes on the topic: Basic Trigonometry. ... 5.7 Further Trigonometric Equations (A Level only) 5.8 Trigonometric Proof (A Level only) ... 10.1 Solving Equations (A Level only) 10.2 ...

  24. A-Level Maths: E7-27 [Trig Equations: Solve sin (2x) = 0.8 between 0

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