Question

if A and B are acute angle and sin is equal to cos B the find the value of a + b is equal to 90 degree

Answer 1

sinA=cosB
sinA=sin(90-B)
TO COMPARING
A=90-B
A+B=90
HENCE PROVED
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Answer 2

Given, Sin A = Cos B, it can be written as

           Sin A = sin(90 - B)

            A = 90 - B

            A + B = 90.