# 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:

**even**.

E.G.

graph{x^2 [-10, 10, -5, 5]}

**odd**.

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