Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

The angle $x$ satisfies $\sin x = a + b$ and $\cos x = a - b$, with $a$ and $b$ being constants.

(i)[3]

Show that $a^2 + b^2$ remains fixed for every value of $x$.

(ii)[2]

When $\tan x = 2$, express $a$ in terms of $b$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme.