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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

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