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
Algebra ->
Trigonometry-basics
-> 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.
