Suppose that for some angles `xa n dy ,` the equations `sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2` hold simultaneously. the possible value of `a` is ___________

Suppose that for some angles x and y the equations sin^(2)x+cos^(2)y=(3a)/(2) , cos^(2)x+sin^(2)y=(a^(2))/(2) hold simultaneously then the value of cos2x-cos2y equals (A) a (B) 2-a (C) 3a-2 (D) 2a-3

Solve the equation (dy)/(dx)+x sin2y=x^(3)cos^(2)y

Solve the following system of equations. sin x + cos y=1, cos 2x-cos 2y=1

If solution of the equation sin^(4)2x+cos^(4)2x=sin2x*cos2x is of the form (n pi)/(2)+(pi)/(k),n in I, then value of k is

The values of k,for which the system of equations cos x cos2y=(k^(2)-4)^(2)+1 and sin x sin2y=k+2 holds,is (are) given by

Solve the differential equation sin x(dy)/(dx)+y cos x=2sin^(2)x cos x

If sin (x+y)=cos (x-y), then the value of cos^2x is :