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Applying the trigonometric identity: $\cot\left(\theta \right)^2 = \csc\left(\theta \right)^2-1$
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$\frac{\csc\left(x\right)^2-1}{\csc\left(x\right)+1}=1$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (cot(x)^2)/(csc(x)+1)=1. Applying the trigonometric identity: \cot\left(\theta \right)^2 = \csc\left(\theta \right)^2-1. The difference of the squares of two terms, divided by the sum of the same terms, is equal to the difference of the terms. In other words: \displaystyle\frac{a^2-b^2}{a+b}=a-b.. We need to isolate the dependent variable , we can do that by simultaneously subtracting -1 from both sides of the equation. Multiply -1 times -1.