Question

17] if sin A = COSB, then Prove that A+B = 90​

Answer 1

sin A = cos B

=> cos (90° - A) = cos B [complimentary angle prop]

=> 90° - A = B

=> 90° = B + A

=> A + B = 90°

Answer 2

Answer:

Given

sinA = cosB

=> cos(90-A) = cosB

=> 90-A = B

=> A + B = 90

proved