Question

If tan A = cot B
Prove that A + B = 90°​

Answer 1

Solution:

Given:

tan A = cot B

To prove: A + B = 90°

Proof:

According to the question,

tan A = cot B

⇒ tan A = tan (90° - B)

⇒ A = (90° - B)

⇒ A + B = 90°

Hence, proved.

Hope you got that.

Thank You!

Answer 2

Answer:

tan A = cot B

tan A = tan ( 90 - B )

A = 90 - B

A + B = 90°

Hence , proved .