# Where is the tangent function undefined even or odd?

## Where is the tangent function undefined even or odd?

Domain and Range of Tangent Function The tangent function is not defined at odd multiples of u03c0/2 as the length of the base in a right triangle is 0 and cos x 0 when x ku03c0/2, where k is an odd integer. Hence, the domain of tan x is all real numbers except the odd multiples of u03c0/2.

## What could cause tangent to be undefined?

Trigonometric functions are undefined when they represent fractions with denominators equal to zero. Tangent is defined as the ratio between the side length opposite to the angle in question and the side length adjacent to it (TOA, or tan x opposite/adjacent).

## Is a tangent function even or odd?

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

## Where is the tangent function undefined?

Since, tan(x)sin(x)cos(x) the tangent function is undefined when cos(x)0 . Therefore, the tangent function has a vertical asymptote whenever cos(x)0 .

## What makes tangent undefined?

Since, tan(x)sin(x)cos(x) the tangent function is undefined when cos(x)0 . Therefore, the tangent function has a vertical asymptote whenever cos(x)0 . Similarly, the tangent and sine functions each have zeros at integer multiples of u03c0 because tan(x)0 when sin(x)0 .

## Why is tangent undefined for certain angles?

Cosine has a value of 0 at 90xb0 and a value of 1 at 0xb0. On the other hand, sine has a value of 1 at 90xb0 and 0 at 0xb0. As a result, tangent is undefined whenever cosu2061(u03b8)0, which occurs at odd multiples of 90xb0 ( ), and is 0 whenever sinu2061(u03b8)0, which occurs when u03b8 is an integer multiple of 180xb0 (u03c0).

## What does it mean when tan theta is undefined?

The tangent identity is tan(theta)sin(theta)/cos(theta), which means that whenever sin(theta)0, tan(theta)0, and whenever cos(theta)0, tan(theta) is undefined (dividing by zero). When the tangent function is zero, it crosses the x-axis.

## At what angles is tangent undefined?

Since, tan(x)sin(x)cos(x) the tangent function is undefined when cos(x)0 . Therefore, the tangent function has a vertical asymptote whenever cos(x)0 .

## What quadrants is tangent restricted to?

As a result, tangent is undefined whenever cosu2061(u03b8)0, which occurs at odd multiples of 90xb0 ( ), and is 0 whenever sinu2061(u03b8)0, which occurs when u03b8 is an integer multiple of 180xb0 (u03c0).

## Is Tan even function?

Domain and Range of Tangent Function The tangent function is not defined at odd multiples of u03c0/2 as the length of the base in a right triangle is 0 and cos x 0 when x ku03c0/2, where k is an odd integer. Hence, the domain of tan x is all real numbers except the odd multiples of u03c0/2.

## Is Tan inverse odd or even?

Because sine, cosine, and tangent are functions (trig functions), they can be defined as even or odd functions as well. Sine and tangent are both odd functions, and cosine is an even function

## Is a trig function even or odd?

Inverse Tangent is Odd Function.

## Where is tangent on a unit circle?

Since, tan(x)sin(x)cos(x) the tangent function is undefined when cos(x)0 . Therefore, the tangent function has a vertical asymptote whenever cos(x)0 .