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If A and B are acute angles and sin A/sin B = √2 and tan A/tan B = √3, find A and B.

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For acute angles ,

sin B = sin 30°

⇒ B = 30°

sin A = sin B √2

⇒ sin A = √2/2

⇒ sin A = 1/√2

⇒ A = 45°

Thus, 

A = 45°   and   B = 30°

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