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Simplify  $\sin (x) + \sin (x - \pi) + \sin(x + \pi) =$
in Mathematics by Diamond (60,544 points) | 43 views

1 Answer

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Using reduction formula and knowing that π = 180 degrees,

sin(x)+sin(x−π)+sin(x+π)= sin(x)+sin(x−180)+sin(x+180)

                                      = sin(x)-sin(180-x)+sin(180+x)

                                     = sin(x)-sin(x)-sin(x)               

                                    = -sin(x)
by Diamond (42,256 points)

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