A certain machine requires a torque of (500 + 50 sin$\Theta$) kN-m to derive it, where $\Theta$ is the angle of rotation of shaft measured from certain datum. The machine is directly coupled to an engine which produces a torque (500 + 50 sin2$\Theta$) kN-m in a cycle how many times the value of torque of machine and engine will be identical
(a) 1 (b) 2 (c) 4 (d) 8