The general solution of sin x − 3 sin2x + sin3x = cos x − 3 cos2x + cos3x is

sin3x+sinx=0

Statement I: The equation (sin−1x)3+ (cos−1x)3−aπ3=0 has a solution for all a≥132.Statement II: For any x∈R,sin−1x+cos−1x=π2 and 0≤(sin−1x−π4)2≤9π216

Solve the equation for x if 0 ≤ x < 2𝜋. Give your answer in radians using exact values only. (Enter your answers as a comma-separated list.)2 cos2 x − 3 sin x − 3 = 0x =

Prove the following:cos9x−cos5xsin17x−sin3x=−sin2xcos10x

The number of solutions of the equation21cos cos cos 2 ,3 3 4x x x  