Final Answer
Step-by-step Solution
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Starting from the right-hand side (RHS) 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 (1+csc(x))/csc(x)=(cos(x)^2)/(1-sin(x)). Starting from the right-hand side (RHS) 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.. Multiply and divide by \csc(x).