Question
Simplify cos^2θ/1-sinθ
Answers
Answered by
oobleck
you did not simplify it at all!
cos^2θ/(1-sinθ) = (1-sinθ)(1+sinθ)/(1-sinθ) = 1+sinθ
cos^2θ/(1-sinθ) = (1-sinθ)(1+sinθ)/(1-sinθ) = 1+sinθ
Answered by
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).
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).
Answered by
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.
cos^2θ/(1-sinθ) = (1-sinθ)(1+sinθ)/(1-sinθ) = 1+sinθ
Therefore, the simplified form of cos^2θ/(1-sinθ) is 1+sinθ.