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

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+2 votes
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in Mathematics by (63.2k points)

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

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Answer: We have

tan A = cot B
⇒ tan A = tan (90° - B)
⇒ A = 90° - B
⇒ A + B = 90°

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