Between -2pi and 2pi, the graph of the equation y = sin x is symmetric with respect to what?

1 Answer
KillerBunny
Oct 20, 2015

Not only in #[-2pi, 2pi]#, but over the whole real set, we have that #sin(-x)=-sin(x)#. This means that, if you know the value of the sine in a point #x#, the opposite point with respect to the #y#-axis #-x# will have an opposite value with respect to the #x# axis, #-sin(x)#.

Combining a symmetry with respect to #y#-axis and then #x#-axis, you get a syimmetry with respect to the origin.

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