Final answer to the problem
Step-by-step Solution
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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. Calculate the power \sqrt{1}. Any expression multiplied by 1 is equal to itself.