If `sin(picosx)=cos(pisinx)`, then what is one of the values of sin 2x ?

what is the maximum value of sin2x cos2x?

If sin(sin x+cos x)=cos(cos x-sin x) then the largest possible value of sin x, is

If sin(sin x+cos x)=cos(cos x-sin x), and largest possible value of sin xis(pi)/(k), then the value of k is

If cos x + cos^2 x = 1 , then what is the value of sin^2 x + sin^4 x ?

If sin x cos x = 1//2 , then what is the value of sin x - cos x ?

If sin x + sin y = a, cos x + cos y = b, then what is the value of cos (x-y) ?

If 3 sin x + 5 cos x =5 , then what is the value of (3cos x - 5sin x) ?

If sin(sin x + cos x) = cos (cos x - sin x) then the largest possible value of sin x is

If (sinx + sin y ) = a and (cos x + cos y ) = b what is the value of sin x sin y + cos x cos y ?