Cotangent Equals Math

Sine cosine and tangent.

Cotangent equals math. Sine cosine and tangent often shortened to sin cos and tan are each a ratio of sides of a right angled triangle. Following from the definition the function results in an undefined value at certain angles like 0 180 360 and so on. For a given angle θ each ratio stays the same no matter how big or small the triangle is. Of the six possible trigonometric functions cotangent secant and cosecant are rarely used.

In a right angled triangle the cotangent of an angle is. Scroll down the page for more examples and solutions on how to use the reciprocal trigonometric functions. The cotangent function is the reciprocal of the tangent function. The circle definition a generalization of sohcahtoa is shown below on the right.

For acute angles cot θ can be found by the sohcahtoa definition shown below on the left. In a formula it is abbreviated to just cot. Based on the definitions various simple relationships exist among the functions. Divide the length of one side by another side.

The length of the adjacent side divided by the length of the side opposite the angle. For example csc a 1 sin a sec a 1 cos a cot a 1 tan a and tan a sin a cos a. Cot θ adjacent opposite. It is not commonly used and is equal to 1 tangent.

And because of the definition of cotangent cot x 1 tan x 1 sin x cos x cos x sin x displaystyle cot x frac 1 tan x frac 1 frac sin x cos x frac cos x sin x. In a right triangle the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side. The trig function cotangent written cot θ. Cot θ equals or.

The abbreviation of cotangent is cot. F x cot x is a periodic function with period π. The abbreviation is cot.