Question

Prove that $cot7\frac{1}{2}=tan82\frac{1}{2}=(\sqrt{3}+\sqrt{2})(\sqrt{2}+1)$

Or

Find the general solution of each of the equations.

(i) $2co{s}^{2}x=1$

(ii) $co{t}^{2}x=3$

Answer 1

Or (i) $x=n\pi \pm \frac{\pi }{4}$, where $nϵI$ (ii) $x=n\pi \pm \frac{\pi }{6}$, where n $ϵ$ I