Final answer to the problem
Step-by-step Solution
Specify the solving method
Applying the pythagorean identity: $\cos^2(\theta)=1-\sin(\theta)^2$
Learn how to solve problems step by step online.
$\frac{1-\sin\left(x\right)^2}{1+\sin\left(x\right)}$
Learn how to solve problems step by step online. Simplify the trigonometric expression (cos(x)^2)/(1+sin(x)). Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. The difference of the squares of two terms, divided by the sum of the same terms, is equal to the difference of the terms. In other words: \displaystyle\frac{a^2-b^2}{a+b}=a-b.. Applying the sine identity: \displaystyle\sin\left(\theta\right)=\frac{1}{\csc\left(\theta\right)}.