Trigonometry - Further Identities (Edexcel 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 is tan⁡2θ\tan 2\theta equal to?

2tan⁡θ1−tan⁡2θ\frac{2\tan \theta}{1 - \tan^2 \theta}

What does sin⁡Acos⁡B\sin A \cos B equal in product-to-sum form?

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

What is sin⁡A+sin⁡B\sin A + \sin B in product form?

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

What is sin⁡(90∘−θ)\sin(90^\circ - \theta) equal to?

cos⁡θ\cos \theta

Which function is even, meaning f(−θ)=f(θ)f(-\theta) = f(\theta)?

cos⁡θ\cos \theta

If sin⁡(x)=35\sin(x) = \frac{3}{5} in Q1, what is cos⁡(2x)\cos(2x)?

725\frac{7}{25}

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