Certain machine requires a torque of \[(500+50\,\sin 2\theta )\] kN.m to drive 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 troque \[(500+50\,\sin \theta )\] 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