Question

tan a=cot b finda+b=90​

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

Therefore, A+B = 90°

Hence, It is proved.

Answer 2

tan a = Cot b

Cot (90-a) = Cot b

90-a = b

a+b = 90

Hence, it is Proved..