If A and B are acute angles such that `sinA=sin^(2)B,2cos^(2)A=3cos^(2)B` then B equal to

Let AandB be acute angles such that sin A=sin^(2)B and 2cos^(2)A=3cos^(2)B. Then A equal to

Choose the correct answer in each of the following questions: If A and B are acute angles such that sinA = cos B " then " (A+B)=?

If A and B are acute angles such that sin A =cos B , prove that (A+B)=90^@ .

If sinA=sin^2B and 2cos^2A=3cos^2B then the triangle ABC is

If A and B are positive acute angles such that sin (A - B) =1/2 and cos (A + B) = 1/2 , then A and B are given by

Prove that sin(A+B)sin(A-B)=cos^2B-cos^2A