# How is tangent related to cotangent?

## How is tangent related to cotangent?

The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .

Is tan and cot complementary?

Tan of an angle = Cot of its complementary angle.

Is tan the reciprocal of cot?

The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). The reciprocal tangent function is cotangent, expressed two ways: cot(theta)=1/tan(theta) or cot(theta)=cos(theta)/sin(theta). Cosecant theta is 1 over y and cotangent is x over y.

### Is cotangent equal to inverse tangent?

cot(x) = 1/tan(x) , so cotangent is basically the reciprocal of a tangent, or, in other words, the multiplicative inverse.

How can you tell the difference between a tangent and cotangent graph?

Indeed, we can see that in the graphs of tangent and cotangent, the tangent function has vertical asymptotes where the cotangent function has value 0 and the cotangent function has vertical asymptotes where the tangent function has value 0.

What is the complementary angle of tangent?

How are the tangents of complementary angles related? Tangent of any angle = cotangent of its complementary angle. Thus θ and (90° – θ) are complementary angles.

#### What is the complementary angle of cot?

Trigonometric ratios of complementary angles: sin(90∘−θ)=cosθ,cos(90∘−θ)=sinθ,tan(90∘−θ)=cotθ,cot(90∘−θ)=tanθ,sec(90∘−θ)=cscθ,csc(90∘−θ)=secθ

What is the reciprocal of sin A?

cosecant
The cosecant is the reciprocal of the trigonometric function sine. It can be calculated by dividing the hypotenuse by the side opposite a given angle in a right triangle.

What is the opposite of tangent?

The cotangent is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.

## What is the reciprocal of tangent?

What is the inverse of a tangent?

So, the inverse of a tangent is called the arctangent (or arctan for short).