Compound and double angle formulaeAQA A-Level Maths: Mind map

Exam questions on Compound and double angle formulae

1. Angles $A$ and $B$ are acute, with $\sin A=\frac35$ and $\cos B=\frac{5}{13}$.
   Find the exact value of $\tan(A+B)$.2 marks
2. The angle $\theta$ is acute and $\tan\theta=\frac34$.
   Find the exact value of $\tan2\theta$.2 marks
3. In this question, work without a calculator and give exact answers. Note that $75^\circ=45^\circ+30^\circ$.
   Show that $\sin75^\circ=\frac{\sqrt6+\sqrt2}{4}$.3 marks