Is sine, cosine, tangent functions odd or even?
3 Answers
The concepts of odd and even apply only to integers .
Except for a very few special angles the values of the sine, cosine , and tangent functions are non-integer .
A function is called even if its graph is symmetrical about the y_axis, odd if its graph is symmetrical about the origin.
If the domain of a function is symmetrical about the number zero, it could be even or odd, otherwise it is not even or odd.
If the requirement of symmetrical domain is satisfied than there is a test to do:
E.G.
graph{x^2 [-10, 10, -5, 5]}
E.G.
graph{x^3 [-10, 10, -5, 5]}
If
Now the answer you need:
- the function
#y=sinx# is odd, because#sin(-x)=-sinx#
graph{sinx [-10, 10, -5, 5]}
- the function
#y=cosx# is even, because#cos(-x)=cosx#
graph{cosx [-10, 10, -5, 5]}
- the function
#y=tanx# is odd, because
graph{tanx [-10, 10, -5, 5]}
Even
Explanation:
y = cos x is always going to be even, because cosine is an even function.
For example, cos