Question

Question #a4dcd

Answer 1

Using `color(red)( cos^2x + sin^2x = 1` rule,

Explanation:

`(cotx * cosx) + sinx = ((cos x/ sin x)* cos x) + Sin x`

`=((cos x * cos x) / sin x) + sin x`

Multiply and divide sin x term with sin x,

`= (cos ^2 x / sin x) + (sin ^2 x / sin x)`

Taking LCM as sin x,

`= (cos^2 x + sin^2x) / sin x`

Using `color(red)( cos^2x + sin^2x = 1` rule,

`= 1 / sin x = csc x`