# What is the meaning of tangent in trigonometry?

## What is the meaning of tangent in trigonometry?

The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. tangent=length of the leg opposite to the anglelength of the leg adjacent to the angle abbreviated as “tan”

## What does tangent mean?

In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that “just touches” the curve at that point. The word “tangent” comes from the Latin tangere, “to touch”.

## What is the tangent of an angle in words?

In a right angled triangle, the tangent of an angle is: The length of the side opposite the angle divided by the length of the adjacent side.

## What does tangent mean in a circle?

For a circle or curve, the tangent is a line or line segment that touches the circle at one point only. For a circle, the tangent will be perpendicular to a radius drawn to the tangent point.

## What is tangent equal to?

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 .

## How do you use tangent?

Tangent (tan) function – Trigonometry. (See also Tangent to a circle). In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. Try this Drag any vertex of the triangle and see how the tangent of A and C are calculated.

## What is another word for tangent?

In this page you can discover 21 synonyms, antonyms, idiomatic expressions, and related words for tangent, like: touching, in contact, tangential, contiguous, deviation, divergence, divergency, excursion, excursus, irrelevancy and tan.

## What is the formula for tangent?

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

## What is the formula of tangent?

1. What is Tan Equal to? The tangent of x is defined to be its sine divided by its cosine: tan x = sin x/ cos x. The cotangent of x can be defined to be the cosine of x divided by the sine of x: cot x = cos x/ sin x.

## What is a common tangent?

Definition of Common Tangent A tangent to a circle is a line that passes through exactly one point on a circle and is perpendicular to a line passing through the center of the circle. A line that is tangent to more than one circle is referred to as a common tangent of both circles.

## What is a tangent example?

A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency. In the circle O , ↔PT is a tangent and ¯OP is the radius.

## How do you calculate tangent?

The tangent function, along with sine and cosine, is one of the three most common trigonometric functions. In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as ‘tan’.

## What is the definition of tangent in trigonometry?

Tangent is a trigonometric ratio comparing two sides of a right triangle. Tangent is usually shortened to tan but is pronounced tangent.

## What does tangent equal?

A convenient mnemonic for remembering the definition of the sine, cosine, and tangent is SOHCAHTOA ( sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, tangent equals opposite over adjacent ). The word “tangent” also has an important related meaning as a line or plane which touches a given curve or solid at a single point.

## How do you find the Tan of a triangle?

For a standard right-angled triangle, the tan of an angle (θ) tells you: Tan (θ) = opposite / adjacent. With opposite and adjacent standing in for the lengths of those respective sides. Convert tangents to degrees using the formula: Angle in degrees = arctan (tan (θ))

## What is the tangent in an unit circle?

The tangent function is a periodic function which is very important in trigonometry. The simplest way to understand the tangent function is to use the unit circle. For a given angle measure θ draw a unit circle on the coordinate plane and draw the angle centered at the origin, with one side as the positive x -axis.