Question

If A and B are complimentary angles show that tan A=cot B​

Answer 1

Answer: HELLO MATE

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A. T. Q

A and B are complimentary angle which means A + B = 90°

A = 90° - B

tan A = tan A

tan A = tan ( 90° - B)

tan A = cot B ( tan0 - 90° = cot0 )

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Step-by-step explanation:

Answer 2

Step-by-step explanation:

As we know,

$\tan( 90 - theta) = \ \cot (theta)$

So,

Since A and B are complimentary.

A + B =90

A=90-B

Now,

L. H. S.

=Tan A

=Tan (90-B)

=Cot B.

R. H. S.

Hence proved.!!