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)?

sinAcosB+cosAsinB\sin A \cos B + \cos A \sin B

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

cosAcosB+sinAsinB\cos A \cos B + \sin A \sin B

What is the double angle identity for sin2θ\sin 2\theta?

2sinθcosθ2\sin \theta \cos \theta

Which is an alternative form of cos2θ\cos 2\theta?

12sin2θ1 - 2\sin^2 \theta

What determines the sign in half-angle identities like sinθ2\sin \frac{\theta}{2}?

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

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

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

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

2sin(A+B2)cos(AB2)2\sin\left(\frac{A+B}{2}\right)\cos\left(\frac{A-B}{2}\right)

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

cosθ\cos \theta

Which trigonometric function is even?

cosθ\cos \theta

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

tanx\tan x

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