Contents
Where is the cotangent function undefined?
Trigonometric functions are undefined when they represent fractions with denominators equal to zero. Cotangent is the reciprocal of tangent, so the cotangent of any angle x for which tan x = 0 must be undefined, since it would have a denominator equal to 0.
Is the cotangent of 180 undefined?
…and note that the sine of a 180 degree angle is zero, and the cosine of that angle is -1. So, this evaluates to a division by zero. Therefore, cot180 is undefined.
Where is cot positive on the unit circle?
Sine and cosecant are positive in Quadrant 2, tangent and cotangent are positive in Quadrant 3, and cosine and secant are positive in Quadrant 4.
What angle is cotangent undefined?
In fact, the value returned by the cotangent function for an angle of zero degrees, one hundred and eighty degrees or three hundred and sixty degrees is considered to be undefined, since the equation cot (θ ) = 1/tan (θ ) will involve division by zero.
Where is sine undefined?
Or, in other words for any angle associated with a point on the unit circle. Sine and cosine functions are never undefined on unit circle. They are defined at every point of a unit circle. Because according to definitions of Sine and cosine, cosine is the x-coordinate of a point moving along unit circle.
What is the cotangent of 180?
Important Angle Summary
| θ° | θradians | cot(θ) |
|---|---|---|
| 150° | 5π/6 | -√3 |
| 180° | π | N/A |
| 210° | 7π/6 | √3 |
| 225° | 5π/4 | 1 |
What is the value of Cosec 180 degree?
-1
The value of sin 90 degree is 1. Therefore, the value of cos 180° is -1. The value of trigonometric ratios for different angles are given for the reference.
When is the tangent of the unit circle undefined?
The tangent value is undefined at certain angle measures because we end up trying to divide by zero. The place where a function is undefined is called an asymptote. Find the tangent function from the unit circle by dividing each y -value by the x -value. Draw and label a set of x and y axes.
Is the value of the cotangent function undefined?
How to find cotangent on the unit circle?
Click to see full answer. In this manner, how do you find Cotangent on the unit circle? 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 .
What are the values of the cotangent function?
Like the tangent function, the values of the cotangent function will vary between zero and infinity (or more correctly, between zero and a very large undefined value).