Question

Simplify cos^2θ/1-sinθ

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify cos^2θ/1-sinθ, we can make use of the Pythagorean identity cos^2θ = 1 - sin^2θ.

Thus, the expression cos^2θ/1-sinθ becomes (1 - sin^2θ)/(1 - sinθ).

Expanding the numerator, we get 1 - sin^2θ = cos^2θ.

Therefore, the simplified expression is cos^2θ/(1 - sinθ).

Answer 2

you did not simplify it at all!

cos^2θ/(1-sinθ) = (1-sinθ)(1+sinθ)/(1-sinθ) = 1+sinθ

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the oversight in the previous response. You are correct.

cos^2θ/(1-sinθ) = (1-sinθ)(1+sinθ)/(1-sinθ) = 1+sinθ

Therefore, the simplified form of cos^2θ/(1-sinθ) is 1+sinθ.