Simplify cot(x)^2-csc(x)^2

Problem

cot(x)−csc(x)

Solution

1. Identify the fundamental Pythagorean identity involving the cosecant and cotangent functions.

cot(x)+1=csc(x)

2. Rearrange the identity to isolate the terms present in the original expression by subtracting csc(x) from both sides.

cot(x)−csc(x)+1=0

3. Subtract 1 from both sides to find the value of the expression.

cot(x)−csc(x)=−1

Final Answer

cot(x)−csc(x)=−1

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