Question

if sin A sin B = cos A cos B for the acute angles A and B the the value of A+B=​

Answer 1

Step-by-step explanation:

We know sinA=cos(90−A)

Given, sinA=cosB

cosB=cos(90−A)

⇒B=90−A

⇒A+B=90

Hence, A+B=90

Answer 2

We know sinA=cos(90−A)

Given, sinA=cosB

cosB=cos(90−A)

⇒B=90−A

⇒A+B=90

Hence, A+B=90

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