Compound Angle Formulae (AQA A-Level Mathematics): Quizzes

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Compound Angle Formulae
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What is the formula for sin⁡(A+B)\sin(A + B)?

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

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

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

What is the formula for tan⁡(A+B)\tan(A + B)?

tan⁡A+tan⁡B1−tan⁡Atan⁡B\frac{\tan A + \tan B}{1 - \tan A \tan B}

In the formula for cos⁡(A+B)\cos(A + B), what is the sign between the two product terms?

Minus

Using compound angle formulae, what is sin⁡(75°)\sin(75°)?

6+24\frac{\sqrt{6} + \sqrt{2}}{4}

What does sin⁡45cos⁡15−cos⁡45sin⁡15\sin 45 \cos 15 - \cos 45 \sin 15 simplify to?

sin⁡30°\sin 30°

What does sin⁡(θ+π2)\sin(\theta + \frac{\pi}{2}) simplify to?

cos⁡θ\cos \theta

How is the tangent compound angle formula derived?

Dividing sine formula by cosine formula

Which is NOT an application of compound angle formulae?

Differentiating polynomials

To calculate sin⁡(75°)\sin(75°) using compound angles, which breakdown is used?

75°=45°+30°75° = 45° + 30°

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