Addition and double angle formulae

Addition and double angle formulae Quiz

Spec 2.3 · Edexcel International A Level Maths: Quiz

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5 questions, one answer each

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1. What is $\sin(A+B)$ ?
- A. $\sin A\cos B-\cos A\sin B$
- B. $\sin A\cos B+\cos A\sin B$
- C. $\cos A\cos B-\sin A\sin B$
- D. $\sin A\sin B+\cos A\cos B$
2. Which expression is NOT equal to $\cos2A$ ?
- A. $\cos^2A-\sin^2A$
- B. $2\cos^2A-1$
- C. $1-2\sin^2A$
- D. $2\sin^2A-1$
3. What is the exact value of $\sin15^{\circ}$ ?
- A. $\frac{\sqrt6-\sqrt2}{4}$
- B. $\frac{\sqrt6+\sqrt2}{4}$
- C. $\frac{\sqrt3-1}{2}$
- D. $\frac14$
4. If $\tan A=\frac12$ , what is $\tan2A$ ?
- A. $1$
- B. $\frac34$
- C. $\frac43$
- D. $\frac45$
5. If $\cos\theta=\frac12$ , what is $\sin^2\frac{\theta}{2}$ ?
- A. $\frac12$
- B. $\frac34$
- C. $\frac18$
- D. $\frac14$