Question

prove that cos(90-a)/Sina+Sina/cos(90-a)=2​

Answer 1

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is :

$\frac{cos(90-a)}{sina}+\frac{sina}{cos(90-a)}$

Plugging the identity cos sum/difference identity

$\frac{cos90cosa+sin90sina}{sina}+\frac{sina}{cos90cosa+sin90sina}$

Plugging the value of sin 90 as 1 and cos 90 as 0

$\frac{0+sina}{sina}+\frac{sina}{0+sina}$

$\frac{sina}{sina}+ \frac{sina}{sina}$

$1+1$

$2$   .................. Hence proved :

Hope it will help :)