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

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+2 votes
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asked May 7, 2017 in Mathematics by Rohit Singh (61,782 points) ● 36 ● 143 ● 461

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

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+2 votes
answered May 7, 2017 by sforrest072 (157,439 points) ● 63 ● 448 ● 1285
selected May 7, 2017 by Rohit Singh
 
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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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