## What does an even function look like?

The graph of an even function is symmetric with respect to the y−axis or along the vertical line x = 0 x = 0 x=0.

Observe that the graph of the function is cut evenly at the y−axis and each half is an exact mirror of the another..

## Is Sine an even function?

Sine is an odd function, and cosine is an even function. You may not have come across these adjectives “odd” and “even” when applied to functions, but it’s important to know them. A function f is said to be an odd function if for any number x, f(–x) = –f(x).

## Is CSC odd or even?

Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd. Even and odd properties can be used to evaluate trigonometric functions.

## Why is tan an odd function?

We can determine whether each of the other basic trigonometric functions is even, odd, or neither, with just these two facts and the reciprocal identities. Thus tangent takes the form f(−x)=−f(x), so tangent is an odd function. Therefore cotangent is also an odd function.

## Is Tan even?

Each is drawn over the interval -3 to 3 . From the graphs above, we see that tan, cot and csc are odd functions while sec is an even function.

## How do you tell if a function is even or odd?

You may be asked to “determine algebraically” whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.

## Is Tan 2x even or odd?

tan^2 (x) is even function because tan^2 (x ) = tan^2 (-x). sin (x) is an odd function because sin (-x) = – sin (x). Together, f(x) is an odd function.

## What does a sine curve look like?

The graph of y=sin(x) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin(x) is all real numbers, and the range is [-1,1]. See how we find the graph of y=sin(x) using the unit-circle definition of sin(x).