Where is tan not defined?

Answer and Explanation: The tangent function, tan(x) is undefined when x = (π/2) + πk, where k is any integer.

What makes tan not defined?

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 π because tan(x)=0 when sin(x)=0 .

Which value of tangent is undefined?

=0
As a result, tangent is undefined whenever cos⁡(θ)=0, which occurs at odd multiples of 90° ( ), and is 0 whenever sin⁡(θ)=0, which occurs when θ is an integer multiple of 180° (π). The other commonly used angles are 30° ( ), 45° ( ), 60° ( ) and their respective multiples.

For what numbers Theta is tan not defined?

f(theta) = tan theta is not defined for numbers that are of pi/2 (90 degree).

Where is tan defined?

In right triangle trigonometry (for acute angles only), the tangent is defined as the ratio of the opposite side to the adjacent side. The unit circle definition is tan(theta)=y/x or tan(theta)=sin(theta)/cos(theta).

Is tan even or odd?

Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd.

Why is tan pi not defined by 2?

Because tan(x) is defined as being equal to sin(x)/cos(x), and cos(π/2)=0. So tan(π/2)=1/0, which is undefined because of the division by zero.

Why tan 270 is undefined?

In quadrant four, we go from 0 to 1 and are therefore still increasing. At zero degrees this tangent length will be zero. Hence, tan(0)=0. At 270 degrees we again have an undefined (und) result because we cannot divide by zero..

What is the value of tan 0?

0
In trigonometry, the value of tan 0 is 0.

How is tan defined?

The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. tangent=length of the leg opposite to the anglelength of the leg adjacent to the angle abbreviated as “tan”

Why is the function y = tan(x) undefined at all points?

The function y = tan (x) is undefined at all points where cos (x) = 0. This is because the tangent of an angle is defined as the sine of that angle divided by the cosine of that angle. In other words, tan (x) = sin (x)/cos (x). Hover for more information. Who are the experts?

What is the value of tan x at points where cos(x) = 0?

The trigonometric function y = tan (x) is undefined at all points where cos (x) = 0. This is because tan (x) is also defined as sin (x) divided by cos (x); namely, tan (x) =. To determine the points where tan (x) is undefined, we solve for the equation cos (x) = 0. This gives us x =.

How do you find the tangent of an angle?

This is because the tangent of an angle is defined as the sine of that angle divided by the cosine of that angle. In other words, tan (x) = sin (x)/cos (x). Hover for more information. Who are the experts? Our certified Educators are real professors, teachers, and scholars who use their academic expertise to tackle your toughest questions.

What does it mean when the value of a trigonometric function is undefined?

The value of a trigonometric function is undefined when the ratio for the function involves division by zero. The function thus has an asymptote at such a point. The trigonometric function y = tan (x) is undefined at all points where cos (x) = 0. This is because tan (x) is also defined…