Question

tan A = cot B, prove that A + B = 90°. Solution: We have​

Answer 1

Step-by-step explanation:

tan A = cot B

682

4.0

(eq. i) {given }

also, tan A = cot (90 - A ) (eq.ii) {complimentary angle }

From eq. i & ii -

cot B = cot (90°- A )

⇒ B=90° - A. → 90° = A + B.

⇒ A + B = 90°. [PROVED ].

Answer 2

tan A = cot B

⇒ tan A = tan (90° - B)

⇒ A = 90° - B

⇒ A + B = 90°