Question

If A and B are complementary angles then prove that tan A=cot B

Answer 1

A and B are complementary ie,A+B=90
A=90-B
tan A=tanA
tan a=tan(90-B)
tan A=cot B

Answer 2

If A and B are somplementary,
A + B = 90
A = 90-B

tan A = tan(90-B) = cot B (proved)