Prove that or .

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

Problem

Prove that

\tan 82\frac{1}{2}^\circ = (\sqrt{3} + \sqrt{2})(\sqrt{2} + 1)

\cot 7\frac{1}{2}^\circ = \sqrt{2} + \sqrt{3} + \sqrt{4} + \sqrt{6}