use the fundamental identities to simplify the expression co

use the fundamental identities to simplify the expression. cos^2y/1-sin y

Solution

cos^2 y / 1 - siny

cos^2 y = 1 - sin^2 y

applying difference of squares formula

1 - sin^2 y = ( 1- sin y ) ( 1+ sin y )

plugging the values back into the expression

( 1- sin y ) ( 1+ sin y ) / ( 1- sin y )

on simplifying we get

( 1+ sin y )