Let . Answer the following, showing all necessary…

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Let

\theta=15^{\circ}

. Answer the following, showing all necessary steps: (i) Express

\theta

in radians. (ii) Find the exact values of

\sin 2\theta

\cos 2\theta

and

\tan 2\theta

. (iii) Simplify the expression

\dfrac{\sin 2\theta}{1+\cos 2\theta}

to its simplest fractional form.