Question

if sin a = cos b then a+b​

Answer 1

Answer:

90°

Step-by-step explanation:

  From properties of trigonometry:

       sinA = cos(90 - A)

 Here,

⇒ sinA = cosB

⇒ cos(90 - A) = cosB

⇒ 90 - A = B

⇒ 90 = B + A = A + B  

Hence, A + B = 90°

Answer 2

Sin A=cos B

we know that,

sin A= cos (90°-A)

now,

cos (90-A)=cos B

90-A=B

90°=A+B