Question

If tan A=cotB, prove that A + B = 90º .

Answer 1

TanA = tan(90_B)
since cotA = tan(90_A)
> A =90_B
A+B =90

Answer 2

Given,

tan A = cot B

we know that ,cotB=tan(90-B)

Now,

tan A = tan ( 90 - B )

A = 90 - B

A + B = 90

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