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simplify the trigonometric expression.

cos^2 theta/1-sin theta

the answer is 1 + sin theta but i dont know how to get that please help

Respuesta :

Recall that sin²Ф+cos²Ф=1, 
so cos²Ф=1-sin²Ф=(1+sinФ)(1-sinФ)
the (1-sinФ) in the numerator cancel with the (1-sinФ) in the denominator, the result is 1+sinФ

The solution to the given trigonometric function when solved gives us the answer as; 1 + sinθ

How to simplify Trigonometric Functions?

We want to simplify the trigonometric function;

cos²θ/(1 - sinθ)

We know that;

sin²θ + cos²θ = 1

Thus; cos²θ = 1 - sin²θ = (1 + sin θ)(1 - sin θ)

Thus, our main equation is now;

(1 + sin θ)(1 - sin θ)/(1 - sin θ)

⇒ 1 + sin θ

Read more about Trigonometric Functions at;https://brainly.com/question/7331447

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