Consider the equation

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

2\sin x+\sqrt{3}=0

. (i) Solve

\sin x=-\dfrac{\sqrt{3}}{2}

for

0^{\circ}\le x\le360^{\circ}

. (ii) Using your result from part (i), find all the solutions of

2\sin x+\sqrt{3}=0

in the interval

0^{\circ}\le x\le720^{\circ}

. (iii) State the total number of distinct solutions obtained in part (ii).