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Grade 12 Math
Solving Trigonometric Equations

Solving trigonometric equations using double-angle identities

Still Confused?

Try reviewing these fundamentals first

Trigonometry
Reference angle
Trigonometry
Find the exact value of trigonometric ratios
Trigonometry
ASTC rule in trigonometry (All Students Take Calculus)
Trigonometry
Double-angle identities

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That's it, no more lessons

Still Confused?

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That's it, no more lessons

Still don't get it?

Nope, I got it.

Still don't get it?

Review these basic concepts…

Reference angle
Find the exact value of trigonometric ratios
ASTC rule in trigonometry (All Students Take Calculus)
Double-angle identities

Nope, I got it.

or

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Start now and get better math marks!

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Chapter 13.7 Playlist

Lesson: 1a) - Utilizing "Double-Angle Identities" to solve:

\cos 2x = 2 \sin^2x

0 \leq x

Intro
Learn
Practice

Do better in math today

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Chapter 13 Topics:

13.1
Solving first degree trigonometric equations
13.2
Determining non-permissible values for trig expressions
13.3
Solving second degree trigonometric equations
13.4
Solving trigonometric equations involving multiple angles
13.5
Solving trigonometric equations using pythagorean identities
13.6
Solving trigonometric equations using sum and difference identities
13.7
Solving trigonometric equations using double-angle identities
Back to Course Index

Don't just watch, practice makes perfect.

Do better in math today

Get Started Now

Chapter 13 Topics:

13.1
Solving first degree trigonometric equations
13.2
Determining non-permissible values for trig expressions
13.3
Solving second degree trigonometric equations
13.4
Solving trigonometric equations involving multiple angles
13.5
Solving trigonometric equations using pythagorean identities
13.6
Solving trigonometric equations using sum and difference identities
13.7
Solving trigonometric equations using double-angle identities
Back to Course Index

Don't just watch, practice makes perfect.

Solving trigonometric equations using double-angle identities

Basic concepts:
Reference angle
Find the exact value of trigonometric ratios
ASTC rule in trigonometry (All Students Take Calculus)
Double-angle identities

Related concepts:
Derivative of trigonometric functions

Lessons

1.
Utilizing "Double-Angle Identities" to solve:

Solving trigonometric equations using double-angle identities

Don't just watch, practice makes perfect.

We have 680 practice questions in Grade 12 Math for you to work through.

Get Started Now

Solving trigonometric equations using double-angle identities

Don't just watch, practice makes perfect.

We have over 680 practice questions in Grade 12 Math for you to master.

Get Started Now

Solving trigonometric equations using double-angle identities

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Try reviewing these fundamentals first

TrigonometryReference angle

TrigonometryFind the exact value of trigonometric ratios

TrigonometryASTC rule in trigonometry (All Students Take Calculus)

TrigonometryDouble-angle identities

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Play next lesson

That's it, no more lessons

Practice this topic

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Play next lesson

That's it, no more lessons

Goto next topic

Still don't get it?

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Still don't get it?

Review these basic concepts…

Reference angle

Find the exact value of trigonometric ratios

ASTC rule in trigonometry (All Students Take Calculus)

Double-angle identities

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Play next lesson or Practice this topic

Start now and get better math marks!

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Start now and get better math marks!

Keep exploring StudyPug

Lesson: 1a

Selected

Lesson: 1b

Intro

Learn

Practice

Do better in math today

Don't just watch, practice makes perfect.

Do better in math today

Don't just watch, practice makes perfect.

Lessons

1.

Utilizing "Double-Angle Identities" to solve:

a)

cos2x=2sin2x\cos 2x = 2 \sin^2x cos2x=2sin​2​​x 0≤x0 \leq x0≤x < 2π2\pi2π

b)

tanx−cotx=2\tan x - \cot x = 2 tanx−cotx=2 0≤x0 \leq x0≤x < 2π2\pi2π

Don't just watch, practice makes perfect.

Solving trigonometric equations using double-angle identities

Don't just watch, practice makes perfect.

We have over 680 practice questions in Grade 12 Math for you to master.

Trigonometry
Reference angle

Trigonometry
Find the exact value of trigonometric ratios

Trigonometry
ASTC rule in trigonometry (All Students Take Calculus)

Trigonometry
Double-angle identities

or

$\cos 2x = 2 \sin^2x$
$0 \leq x$ < $2\pi$

$\tan x - \cot x = 2$
$0 \leq x$ < $2\pi$