(a) Solve and obtain the general solution for . (b) Using the result of part (a),…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

(a) Solve

\sin 2\theta=\dfrac{\sqrt3}{2}

and obtain the general solution for

\theta

. (b) Using the result of part (a), list every value of

\theta

that lies in the interval

0\le\theta\le\pi

. (c) Substitute each value obtained in part (b) back into

\sin 2\theta

and show that it satisfies the given equation.