Expand the Trigonometric Expression cot(x)^2

Problem

cot2(x)

Solution

1. Identify the trigonometric identity relating the cotangent function to the cosecant function.

2. Apply the Pythagorean identity for cotangent, which states that 1+cot2(x)=csc2(x)

3. Rearrange the identity to solve for cot2(x) by subtracting 1 from both sides of the equation.

Final Answer

cot2(x)=csc2(x)−1

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