f(x)= sin(x)cos(x) is?
- Linear function
- Quadratic function
- Odd function
- Even function
Explanation
The given function f(x) = sin(x)cos(x) is an odd function because it satisfies the condition:f(-x) = -f(x)
To see why, let's simplify the function:
f(x) = sin(x)cos(x) = (1/2)sin(2x)
Now, substitute -x for x:
f(-x) = (1/2)sin(-2x) = -(1/2)sin(2x) = -f(x)
So, the function f(x) = sin(x)cos(x) is an odd function.
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