What is cotangent equal to?

The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x . = tan 5π 4 . tan x = −∞.

Does cot use X values?

The graph of the cotangent function looks like this: The domain of the function y=cot(x)=cos(x)sin(x) is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n . The range of the function is all real numbers.

What can cot X be written as?

cot is a short way to write ‘cotangent’. This is the reciprocal of the trigonometric function ‘tangent’ or tan(x). Therefore, cot(x) can be simplified to 1/tan(x). Using trigonometric rules, an alternative way to write 1/tan(x) is cos(x)/sin(x).

Is cot the X or Y value?

The x-intercepts of the graph of y = tan(x) are the asymptotes of the graph of y = cot(x). x-intercepts of the graph of y = cot(x).

What is cotangent used for?

Applications of Cotangent Cotangent is used the same way the sine, cosine, and tangent functions are used. You can use them based on a right triangle, using the opposite and adjacent sides of the triangle, or you can use it based on the unit circle, which shows the angles in radians.

Is the cotangent function symmetric?

Symmetry around the origin: Sine, cosecant, tangent, and cotangent are odd functions, and are symmetric around the origin. The sine, cosecant, tangent, and cotangent functions are symmetric about the origin.

How do you use Cotangent?

Cotangent is used the same way the sine, cosine, and tangent functions are used. You can use them based on a right triangle, using the opposite and adjacent sides of the triangle, or you can use it based on the unit circle, which shows the angles in radians.

What is Cotangent on the unit circle?

The cotangent function is the reciprocal of the tangent function (cotx=1tanx=costsint) ⁡ x = 1 tan ⁡ ⁡ ⁡ . It can be found for an angle by using the x – and y -coordinates of the associated point on the unit circle: cott=costsint=xy ⁡ ⁡ ⁡ t = x y .

Is the cotangent 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. See (Figure).