For use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation in the interval x=_________pi
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Well, then use it, hence $\displaystyle 2\sin x\cos x+\cos x=\cos x(2\sin x+1)=0,$ from here $\displaystyle \cos x=0$ or $\displaystyle 2\sin x+1=0.$ Each one can be easily solved, do it.
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