Solve the tangent equation .

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

Problem

Solve the tangent equation

\tan \dfrac{x}{2} = \sqrt{3}

. (i) Write the general solution for

\dfrac{x}{2}

that satisfies

\tan \dfrac{x}{2} = \sqrt{3}

. (ii) Hence, obtain the general solution for

x

. (iii) Determine all solutions of

x

, in degrees, that satisfy

-180^{\circ} < x \le 180^{\circ}