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Step-by-step Solution
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Starting from the right-hand side (RHS) of the identity
Applying the trigonometric identity: $\cot\left(\theta \right)^2 = \csc\left(\theta \right)^2-1$
Learn how to solve trigonometric identities problems step by step online.
$\cot\left(y\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (csc(y)-1)(csc(y)+1)=cot(y)^2. Starting from the right-hand side (RHS) of the identity. Applying the trigonometric identity: \cot\left(\theta \right)^2 = \csc\left(\theta \right)^2-1. Simplify \sqrt{\csc\left(y\right)^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Calculate the power \sqrt{1}.