A certain machine requires a torque of ((500+50 sin 2 theta) mathrm{kN} cdot mathrm{m}) to drive it,
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A certain machine requires a torque of \((500+50 \sin 2 \theta) \mathrm{kN} \cdot \mathrm{m}\) 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 torque \((500+50 \sin \theta) \mathrm{kN} \cdot \mathrm{m}\) 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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