Arthur D. answered 07/06/20
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sin(∏+x)+sin(∏-x) I'm using x for θ
sinΠcosx+cosΠsinx+sinΠcosx-cosΠsinx
sinΠ=0 and cosΠ=-1
therefore, 0-sinx+0-(-sinx)=0-sinx+0+sinx=0