SOLUTION: how would I go about this problem? Determine whether the following function f(x)=7/4sinxcosx is even, odd or neither. Show your work

Algebra ->  Trigonometry-basics -> SOLUTION: how would I go about this problem? Determine whether the following function f(x)=7/4sinxcosx is even, odd or neither. Show your work      Log On


   



Question 1119316: how would I go about this problem? Determine whether the following function f(x)=7/4sinxcosx is even, odd or neither. Show your work
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your function is (if I read your writing correctly)


f(x) = %287%2F4%29%2Asin%28x%29%2Acos%28x%29 = %287%2F8%29%2A%282%2Asin%28x%29%2Acos%28x%29%29 = %287%2F8%29%2Asin%282x%29.


The function  sin(2x)  is an odd function of x;  so, the original function f(x) is an odd function.