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If tan A = cot B, prove that A + B = 90°.

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If tan A = cot B, prove that A + B = 90°.

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tan A = cot B

We know that cot B = tan (90° – B)

To prove A + B = 90°, substitute the above equation in the given problem

tan A = tan (90° – B)

A = 90° – B

A + B = 90°

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