Question

If tan A =cot B, prove that A+B=90 degree.

Answer 1

tan A = cot B

..... 1

tan (90°-B) = cot B ...2

By equating 1 and 2

tan A = tan (90°-B)

A=90°-B

Hence

, A+B = 90°

Answer 2

SOLUTION

It is given that tan A = cot B

=) tan (90°-B)

=) A= 90°- B

=) Hence,

=) A+B= 90°

hope it helps ✔️