Question

Evaluate
$\frac{{\sin 58}^{\circ }}{{\cos 32}^{\circ }}+\frac{{\tan 42}^{\circ }}{{\cot 48}^{\circ }}$

Answer 1

$\frac{\sin {58}^o}{\cos {32}^o}+\frac{\tan \left({42}^o\right)}{\cot {48}^o}$

$\Rightarrow \frac{\sin ({90}^o-{32}^o)}{\cos {32}^o}+\frac{\tan ({90}^o-{48}^o)}{\cot {48}^o}$

$\Rightarrow \frac{\cos {32}^o}{\cos {32}^o}+\frac{\cot {48}^o}{\cot {48}^o}$

$\Rightarrow 1+1=2$.