Question

If sin A = cos B, then prove that A + B = 90º.

Answer 1

HELLO FRIEND HERE IS UR ANSWER

SIN A = SIN (90-B)

= A+B= 90

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Answer 2

Answer:

Proved that A+B =90°

Step-by-step explanation:

It is given to us that Sin A =Cos B.

In that case, we have to prove that  A+B =90°

Now, given expression, Sin A = Cos B

⇒ Sin A = Sin (90°-B)

Since, we know that Sin (n*90 - α) = Cos α, if n=1

                                               =Sin α, if n=2

                                               = -Cos α, if n=3 and

                                               = -Sin α, if n=4

Hence, cancelling Sin from both sides, A= 90° - B, ⇒A+B = 90° (Proved)