## How is tangent related to cotangent?

# 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).