Question

Solve $\frac{\cos {70}^{\circ }}{\sin {20}^{\circ }}+\cos {36}^{\circ }\times cosec{54}^{\circ }$

Answer 1

$\frac{\cos {70}^{\circ }}{\sin {20}^{\circ }}+\cos {36}^{\circ }\csc {54}^{\circ }$

$=\frac{\cos ({90}^{\circ }-{20}^{\circ })}{\sin {20}^{\circ }}+\cos ({90}^{\circ }-{54}^{\circ })\csc {54}^{\circ }$

$=\frac{\sin {20}^{\circ }}{\sin {20}^{\circ }}+\sin {54}^{\circ }\csc {54}^{\circ }$

$=1+1=2$