Trigonometric identities (AQA GCSE Further Maths): Quizzes

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Trigonometric identities
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What makes trigonometric identities different from regular equations?

They are true for ALL values of the variable

What is the Pythagorean identity?

sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1

Which identity can be rearranged from sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1?

cos⁡2θ=1−sin⁡2θ\cos^2\theta = 1 - \sin^2\theta

What is the tangent identity?

tan⁡θ=sin⁡θcos⁡θ\tan\theta = \frac{\sin\theta}{\cos\theta}

What is the exact value of sin⁡30°\sin 30°?

12\frac{1}{2}

What is the exact value of tan⁡45°\tan 45°?

11

What is the exact value of cos⁡60°\cos 60°?

12\frac{1}{2}

What is the key strategy for solving trigonometric equations?

Express everything in terms of one trig function

When proving identities, what should you do?

Work with one side only

Why do we use the symbol ≡\equiv for trigonometric identities?

They are true for all values

What does sin⁡2x\sqrt{\sin^2x} equal?

∣sin⁡x∣|\sin x|

What is 60°60° in radians?

π3\frac{\pi}{3}

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