Question

IF tanA=cotB,Prove that A+B=90​

Answer 1

Step-by-step explanation:

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Answer 2

tan A = cot B

=> tan A = tan (90 - B) [As we know that, tan and cot are complementary ratios. Thus, cot Ø = tan (90 - Ø)]

=> A = 90 - B [Since the ratios are same, the angles are equal]

=> A + B = 90°

hence proved.