# Tangent Calculator

Simple tangent calculator tool that calculates the tangent of an angle using radians and degrees. For calculating the tangent of an angle using a calculator, just select the angle type as degrees or radians from the drop-down menu, and by clicking on the calculate button get the result in a blink of an eye.

Tangent Calculator: Are you wishing to analyze the tangent of an angle in a simple manner? Then don't worry, you are at the right place. Calculate the tangent of an angle in radians or degrees using our tangent calculator tool comfortably. Make a look at the definition, formula, steps and examples and etc on how to calculate the tangent of an angle manually.

## How to Find the Tangent of an Angle?

The tangent of an angle is a trigonometric function, that is defined as the ratio of the length of the opposite side by the length of the adjacent side. The tangent of an angle can be expressed as ''Tan θ". The angle of the tangent will be measured in radians and degrees. Simply tangent is a line or curve that intersects a curve. we will see the formula of tangent below:

Tan θ = Opposite Side/ Adjacent Side = a / b Tangent Graph:

The tangent graph forms multiple curves from higher to lower at every possible angle. Tangent Table:

The below table shows you the angle and radians of a tangent value.

Angle in degrees Angle in radians tan(x)
π/6 0
30° π/5 1/√3 = √3/3
45° π/4 1
60° π/3 √3
90° π/2 undefined
120° 2π/3 -√3
135° 3π/4 -1
150° 5π/6 -1/√3 = -√3/3
180° π 0

### Steps for Calculating the Tangent

The steps that are shown below are used to calculate the tangent of an angle in radians and degrees.

• Firstly, we write down the values that are given in the problem.
• Then, we will apply the formula and simplify it.
• Finally, you will get the value of an angle.

Examples:

Question 1: Find the value of the tangent if the value of θ= 30°?

Solution:

Given the angle, θ= 30°

Tan θ = tan 30°

From the above table,

tan 30° = 1/√3

And in radians tan 30° = π/5.

Question 2: If the value of a= 10, b =20 then find the tangent of an angle?

Solution:

Given values are a=10, b=20

Apply the formula of a tangent,

Tan θ = Opposite Side/ Adjacent Side = a / b

Tan θ = 10/20 =1/2

Tan (1/2)= 28°

Keep an eye on our website arithmeticcalculators.com for more math concepts. For accurate results use our calculators and check the answers to your manual calculations easily.

### Frequently Asked Question on Tangent Calculator

1. What is a tangent of an angle?

The tangent of an angle is defined as the ratio of the length of the opposite side by the length of the adjacent side.

2. What is the meaning of TOA?

TOA is a simple form for remembering the ratio of tan.

TOA = Tangent is Opposite over Adjacent.

3. How to calculate the angle of tangent?

Angle of tangent can be calculated by the formula, i.e, Tan θ = Opposite Side/ Adjacent Side = a / b.

4. What are the steps to calculate tangent using a calculator?

Step 1: Select the radians or degrees of a tangent from the drop-down menu.

Step 2: After that click the calculate button for executing the calculation.

Step 3: Then the result will be displayed on the screen in no time.