Simplify the trigonometric expression.

Question

cos^2 θ

__________________________

1-sin θ

Answer 1

cos^2 θ/1-sin θ

Using the Pythagorean theorem cos^2 θ =1- sin^2 θ

=1-sin^2 θ/1-sin θ

Using the formula:a^2-b^2 =(a-b)(a+b)

=(1+sin θ)(1- sinθ)/(1-sin θ)

Cancel common terms

=1+sin θ