SOLUTION: can some one Indicate whether each of the following functions is odd or even by writing " odd" or "even" on the blank line. (a) f(x)= sin x (b) f(x)= cos x (c) f(x)= 2 cot x

Algebra ->  Trigonometry-basics -> SOLUTION: can some one Indicate whether each of the following functions is odd or even by writing " odd" or "even" on the blank line. (a) f(x)= sin x (b) f(x)= cos x (c) f(x)= 2 cot x      Log On


   

Question 94061This question is from textbook
: can some one Indicate whether each of the following functions is odd or even by writing " odd" or "even" on the blank line.
(a) f(x)= sin x
(b) f(x)= cos x
(c) f(x)= 2 cot x
(a)___________
(b)___________
(c)___________ This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = sin(x)
f(-x) = sin(-x)
f(-x) = -sin(x)
f(-x) = -f(x)
Odd
graph%28850%2C200%2C-3.5%2C3.5%2C-1%2C1%2Csin%28x%29%29
~~~~~~~~~~~~~~~~~~~~~
f(x) = cos(x)
f(-x) = cos(-x)
f(-x) = cos(x)
f(-x) = f(x)
Even
graph%28850%2C200%2C-3.5%2C3.5%2C-1%2C1%2Ccos%28x%29%29
~~~~~~~~~~~~~~~~~~~~~
f(x) = 2/tan(x)
f(-x) = 2/tan(-x)
f(-x) = -2/tan(x)
f(-x) = -f(x)
Odd
graph%28850%2C200%2C-3.5%2C3.5%2C-1%2C1%2C2%2Acos%28x%29%2Fsin%28x%29%29