If A and B are Acute Angles Such That Sin A = Sin2 B, 2cos2 A = 3 Cos2 B; Then

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Question

If A and B are acute angles such that sin A = sin2 B, 2cos2 A = 3 cos2 B; then

Solution

Correct option is

A = π/6 or B = π/4

From the given conditions

     

 

 

   

     

But since A is acute, we have A = π/6.

 

 

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