Use the Maclaurin series for fxsinx to prove sinx is an odd

Solution

The maclaurin series for sin x is sinx= x-x^3/3+x^5/5+..... now when we put x=-x for telling the function is even or odd sin(-x)= -x+x^3/3_x^5/5+..... = -1(x-x^3/3+x^5/5+.....) hence f(-x)= -f(x) hence proved that sin x is an odd function