SOLUTION: Determine whether the following function is odd, even, or neither. f(x) = 2sinxcosx Here is my solution: f(-x) = 2sin(-x)cos(-x) = -2sin(x)cos(x) Neither

SOLUTION: Determine whether the following function is odd, even, or neither. f(x) = 2sinxcosx Here is my solution: f(-x) = 2sin(-x)cos(-x) = -2sin(x)cos(x) Neither

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Question 629017: Determine whether the following function is odd, even, or neither.
f(x) = 2sinxcosx
Here is my solution:
f(-x) = 2sin(-x)cos(-x)
= -2sin(x)cos(x)
Neither
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
2(sin x)(cos x) = sin(2x), double angle identity
f(-x) = sin(-2x)
= -sin(2x)
= -f(x)
Therefore f(x) is an ODD FUNCTION.
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