Simplify 1/(tan(x+1)^2)

Problem

1/tan2(x+1)

Solution

1. Identify the reciprocal identity for the tangent function.

2. Apply the identity cot(θ)=1/tan(θ) to the expression.

3. Square the cotangent function to match the power in the denominator.

Final Answer

1/tan2(x+1)=cot2(x+1)

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