Where is the tangent function undefined?

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

Where is the tangent function undefined?

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

What quadrant is tan 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.

Where is tan θ 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.

Why is tan undefined?

At 90 degrees we must say that the tangent is undefined (und), because when you divide the leg opposite by the leg adjacent you cannot divide by zero. In the third quadrant the hypotenuse extended will now meet the tangent line above the x-axis and is now positive again.

What angle is tan undefined?

Commonly used angles

What degree is tan undefined?

The exact value of tan 90 is infinity or undefined.

How do you find tan 0?

To find the value of tan 0 degrees using the unit circle:

1. Draw the radius of unit circle, ‘r’, to form 0° angle with the positive x-axis.
2. The tan of 0 degrees equals the y-coordinate(0) divided by x-coordinate(1) of the point of intersection (1, 0) of unit circle and r.

What is tan on the unit circle?

The definition of the tangent



In terms of the unit circle diagram, the tangent is the length of the vertical line ED tangent to the circle from the point of tangency E to the point D where that tangent line cuts the ray AD forming the angle.

Where is CSC undefined?

Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (0) is 0, so the cosecant of 0 must be undefined.

Why tan 270 is undefined?

Explanation: For tan 270 degrees, the angle 270° lies on the negative y-axis. Thus tan 270° value is not defined.

How do you find the csc on the unit circle?

The cosecant function is the reciprocal of the sine function (cscx=1sinx) ⁡ x = 1 sin ⁡ . It can be found for an angle t by using the y -coordinate of the associated point on the unit circle: csct=1y ⁡ t = 1 y .

Where is cosecant on the unit circle?

Video quote: They are cosecant which is the reciprocal of sine secant which is the reciprocal of X. And co'tin which is the reciprocal of tan. So what do we need to do cosecant is the reciprocal of Y.

How do you find tan?

Video quote: The tangent is equal to the opposite over the adjacent. Since our opposite side has a length of 3 in our jacent side has a length of 4.

How do you write cosecant?

Cosecant is one of the main six trigonometric functions and is abbreviated as csc x or cosec x, where x is the angle. In a right-angled triangle, cosecant is equal to the ratio of the hypotenuse and perpendicular. Since it is the reciprocal of sine, we write it as csc x = 1 / sin x.

How do you find negative radians on the unit circle?

Video quote: Again halfway around the circle is 4 PI over 4. Right it's 4 PI over 4. But again we're going in the negative direction so all the negative direction means is we're just going in this clockwise.

What is negative on the unit circle?

When measuring an angle around the unit circle, we travel in the counterclockwise direction, starting from the positive x -axis. A negative angle is measured in the opposite, or clockwise, direction. A complete trip around the unit circle amounts to a total of 360 degrees.

What is a negative Radian?

Video quote: And we move in a clock excuse me a counter clockwise direction now we can have negative radians all it means is that we're gonna be moving in a clockwise direction.

Where is negative pi over 6 on the unit circle?

The angle is in the fourth quadrant.

What is the value of tan 0 in the unit circle below?

What is the value of tan 0 in the unit circle below? In the diagram below, tan 0 = √3. What is the value of m? For which value of 0 is sin 0= -1?

How do you evaluate Tan pi 6?

The value of tan pi/6 in decimal is 0.577350269. . .. Tan pi/6 can also be expressed using the equivalent of the given angle (pi/6) in degrees (30°). ∴ tan pi/6 = tan π/6 = tan(30°) = 1/√3 or 0.5773502. . .

In what quadrant is pi over 6?

1st Quadrant

Note: Since pi/6 lies in the 1st Quadrant, the final value of csc pi/6 will be positive.

What quadrant is 17 pi over 6 in?

second quadrant

The angle is in the second quadrant.

What degree is pi over 4?

Table of angles