Simplify csc(x)^2-1

Problem

csc2(x)−1

Solution

1. Identify the relevant trigonometric identity. The Pythagorean identity relating cosecant and cotangent is 1+cot2(x)=csc2(x)

2. Rearrange the identity to match the given expression by subtracting 1 from both sides.

3. Substitute the resulting expression into the original problem.

Final Answer

csc2(x)−1=cot2(x)

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