Trigonometry - Further Identities (AQA A-Level Mathematics): Quizzes

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Trigonometry - Further Identities
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What is the identity for sin⁡(A+B)\sin(A + B)?

sin⁡Acos⁡B+cos⁡Asin⁡B\sin A \cos B + \cos A \sin B

What is the identity for cos⁡(A−B)\cos(A - B)?

cos⁡Acos⁡B+sin⁡Asin⁡B\cos A \cos B + \sin A \sin B

What is the double angle identity for sin⁡2θ\sin 2\theta?

2sin⁡θcos⁡θ2\sin \theta \cos \theta

Which is an alternative form of cos⁡2θ\cos 2\theta?

1−2sin⁡2θ1 - 2\sin^2 \theta

What determines the sign in half-angle identities like sin⁡θ2\sin \frac{\theta}{2}?

The quadrant in which θ2\frac{\theta}{2} lies

What is the product-to-sum identity for sin⁡Acos⁡B\sin A \cos B?

12[sin⁡(A+B)+sin⁡(A−B)]\frac{1}{2}[\sin(A+B) + \sin(A-B)]

What is the sum-to-product identity for sin⁡A+sin⁡B\sin A + \sin B?

2sin⁡(A+B2)cos⁡(A−B2)2\sin\left(\frac{A+B}{2}\right)\cos\left(\frac{A-B}{2}\right)

What is the co-function identity for sin⁡(90∘−θ)\sin(90^\circ - \theta)?

cos⁡θ\cos \theta

Which trigonometric function is even?

cos⁡θ\cos \theta

What does sin⁡(2x)1+cos⁡(2x)\frac{\sin(2x)}{1 + \cos(2x)} simplify to?

tan⁡x\tan x

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