Tag Archives: even function

Problem 2-6: Odd and Even Functions


Which one of the following functions are even or odd or neither?
a)  \sin(x)
b)  \cos(x)
c)  \sin(x)\cos(x)
d)  x \sin(x)
e)  x^2
f)  \sin(x) + \cos(x)

Recall that a function is said to be even if  f(-x)=f(x) and odd if  f(-x)=-f(x).

Solution
a) Odd  \sin(-x)=-\sin(x)
sin(x)
b) Even  \cos(-x)=\cos(x)
Continue reading