[" 4.If "x sin^(3)|+y cos^(3)|=sin|cos|" and "x sin|=y cos|],[" prove "x^(2)+y^(2)=1]

If x sin^(3)theta+y cos^(3)theta=sin theta cos theta andx sin theta=y cos theta prove that x^(2)+y^(2)=1

Consider the system of equations x cos^(3) y+3x cos y sin^(2) y=14 x sin^(3) y+3x cos^(2) y sin y=13 The value of sin^(2) y+2 cos^(2) y is

Consider the system of equations x cos^(3) y+3x cos y sin^(2) y=14 x sin^(3) y+3x cos^(2) y sin y=13 The value of sin^(2)y + 2cos^(2) y is.

Consider the system of equations x cos ^(3) y + 3 x cosy sin^(2) y = 14 t o (1) and x sin^(3) y + 3 x cos^(2) y sin y = 13 to (2) The value of sin^(2) y + 2 cos^(2) y is

cos x + cos y + cos z = 0 and sin x + sin y + sin, then cos ^ (2) ((xy) / (2)) =

If 2cos x+2cos3x=cos y and 2sin x+2sin3x=sin y then cos2x=

If 2cos x+2cos3x=cos y and 2sin x+2sin3x=sin y then cos2x=

If 2cos x+2cos3x=cos y and 2sin x+2sin3x=sin y then cos2x=

If sin x + sin y = sqrt (3) (cos y-cos x), then sin3x + sin3y =

If x = sin theta + cos theta sin 2 theta " and " y = cos theta + sin theta sin 2 theta,"prove that " (x+y)^(2//3) + (x-y)^(2//3) = 2