The number of values of x for which `sin2x + cos4x = 2` is

The number of values of x for which "sin" 2x + "cos" 4x =2 , is

The number of solutions for the equation sin2x+cos 4x=2 is

The number of real values of x such that sin x+iota cos2x&cos x-iota sin2x are conjugate to each other?

Write the values of x in [0,pi] for which sin2x ,1/2 and cos2x are in AP

Write the values of x in [0,pi] for which sin2x,(1)/(2), cos 2x are in A.P.

The number of values of x between 0 and 2 pi that satisfies the equation sin x+sin2x+sin3x=cos x+cos2x+cos3x must be

Number of integral values of 'a' for which the equation cos2x+3sin x+4sin^(2)x=a-3 has a real root is/are

The number of x in [0,2pi] for which sqrt(2sin^4 x+18cos^2 x)-sqrt(2cos^4 x+18sin^2 x)=1 is

The number of values of x in [-pi,pi] satisfying the equation 2(cos x+cos2x)+sin2x(1+2cos x)=2sin x is