The value of for an acute angle is .

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

The value of

\tan x

for an acute angle

x

2

. (a) Calculate

\sin x

and

\cos x

in simplest surd form. (b) Using your answers from part (a), find the exact values of

\sin 3x

and

\cos 3x

. Simplify each result. (c) Hence evaluate

\tan 3x

. Leave your answer as a rational number.