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in Trigonometry by (37.9k points)
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If tan A = cot B where A and B. are acute angles, prove that A + B = 90°.

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Given that tan A = cot B 

⇒ cot (90° – A) = cot B [∵ tan θ = cot (90 – θ)] 

⇒ 90° – A = B 

⇒ A + B = 90°

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