One way you can answer this question is to plot the two functions you have on the same coordinate system. The number of intersection points of the two graphs will tell you how many solutions are there.
I used desmos graphing calculator online and found there would be one solution.

Sava D.
tutor
sin(x) is a transcendental function. To solve it algebraically, you need to use series, like Taylor series.
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03/30/18
Ali M.
03/30/18