Final answer to the problem
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Applying the pythagorean identity: $\cos^2(\theta)=1-\sin(\theta)^2$
Learn how to solve trigonometric identities problems step by step online.
$\frac{\cos\left(x\right)^2}{1-\sin\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (cos(x)^2)/(1-sin(x))=1+sin(x). Starting from the left-hand side (LHS) of the identity. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. The difference of the squares of two terms, divided by the difference of the same terms, is equal to the sum of the terms. In other words: \frac{a^2-b^2}{a-b}=a+b.. Since we have reached the expression of our goal, we have proven the identity.