Question

Find the value of: $\frac{\cos {80}^o}{\sin {10}^o}+\cos {59}^o\times \csc {31}^o$

Answer 1

$\frac{\cos {80}^o}{\sin {10}^o}+\cos {59}^o\times \csc {31}^o$

= $\frac{\cos (90-10{)}^o}{\sin {10}^o}+\cos (90-31{)}^o\times \csc {31}^o$

= $\frac{\sin {10}^o}{\sin {10}^o}+\sin {31}^o\times \csc {31}^o$

= $1+1$
= $2$