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Starting from the right-hand side (RHS) of the identity
The reciprocal sine function is cosecant: $\frac{1}{\csc(x)}=\sin(x)$
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$\frac{1}{\csc\left(x\right)^2}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (1-cos(x))(1+cos(x))=1/(csc(x)^2). Starting from the right-hand side (RHS) of the identity. The reciprocal sine function is cosecant: \frac{1}{\csc(x)}=\sin(x). Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Calculate the power \sqrt{1}.