If with and , what is the sum of all distinct values of (in…

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

\tan 2\theta = \sqrt{3}

with

0^{\circ} < \theta < 180^{\circ}

and

\tan \theta \ne 1

, what is the sum of all distinct values of

\theta

(in degrees)? (a)

90^{\circ}

(b)

150^{\circ}

(c)

180^{\circ}

(d)

120^{\circ}