Question

Evaluate: $\frac{\sin {30}^o+\tan {45}^o-\csc {60}^o}{\cot {45}^o+\cos {60}^o-\sec {30}^o}$

Answer 1

$\frac{sin{30}^o+tan{45}^o-cosec{60}^o}{cot{45}^o+cos{60}^o-sec{30}^o}=\frac{\frac{1}{2}+1-\frac{2}{\sqrt{3}}}{1+\frac{1}{2}-\frac{2}{\sqrt{3}}}=1$