Is the trig function: even, odd, neither #y=x-sin(x)#?
2 Answers
Jun 16, 2018
Odd function
Explanation:
For even functions,
For odd functions,
Let
To prove it is an even function
Therefore,
Following on from the last step,
Therefore, it is an odd function
Jun 16, 2018
The function is odd.
Explanation:
Let
A function is even if
A function is even if
Therefore,
As
The function is odd. It is symmetric about the origin.
graph{x-sinx [-16.02, 16.01, -8.01, 8.01]}