If tan A =cot B, prove A +B =90
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REFER TO THE ATTACHMENT
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Explanation:
tan A = cot B ------------ ( eq. i) { given }
also, tan A = cot ( 90 - A ) ------------ ( eq.ii ) { complimentary angle }
From eq. i & ii -
cot B = cot ( 90°- A )
⇒ B = 90° - A.
⇒ 90 ° = A + B.
⇒ A + B = 90 °. [ PROVED ] .
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