Question

IF tan A = cot B ,prove that A+B=90

Answer 1

Answer:

Given: tanA=cotB

To prove: A+B=90°

Step-by-step explanation:

tanA=cotB

tanA=(tan90-B) {cotA=tan(90-A}

Comparing angles:

A=90°-B

A+B=90°

Hence proved.

Answer 2

Answer:

Given;

tan A = cot B,

To Prove :

A+B= 90°

Proof:

tan A =cot B

tan A =tan (90° - B) [tan (90 -A)=cot A]

A=90°- B

A+B =90°.

Hence Proved