Compound Angle Formulae (Edexcel 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}

Using compound angle formulae, what is sin⁡(75∘)\sin(75^\circ) where 75∘=45∘+30∘75^\circ = 45^\circ + 30^\circ?

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

What is cos⁡(45∘−30∘)\cos(45^\circ - 30^\circ) using the compound angle formula?

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

Which expression equals cos⁡(A+B)\cos(A + B)?

cos⁡Acos⁡B−sin⁡Asin⁡B\cos A \cos B - \sin A \sin B

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

sin⁡30∘\sin 30^\circ

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

cos⁡θ\cos \theta

If sin⁡A=45\sin A = \frac{4}{5} with hypotenuse 5 and opposite 4, what is the adjacent side?

33

When expanding trig functions like sin⁡(A±B)\sin(A \pm B), what important principle applies?

Ordinary rules of algebra do not apply

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