Mathematical Calculators

Double Angle Formula Calculator

Determine the double angle equivalent of a given angle with this free calculator! Find more information about the double angle formula.

Double angle calculator

Table of contents

About double angle formula calculator
How to use double angle formula calculator?
What is a double angle?
What is double angle formula?
Sin double angle formula
Cos double angle formula
Tan double angle formula
Learn about double angles

About double angle formula calculator

This page provides the basic information about the double angle formula. It will help you find all the things related to the double angle that you need to know.
List of trigonometric identities

How to use double angle formula calculator?

Using our double angle formula calculator is very simple. You just fill in your needed angle to the input field and the calculator will show the result of double sine, double cosine and double tangent. You can also choose the units for the angle, so the calculator should work for all of your needs!

What is a double angle?

Double angle is essentially a very simple concept. Double angle is an integral concept that increases the given angle by two. It can be also used to divide the given angle by two.

What is double angle formula?

A double angle formula is a trigonometric identity that refers to the two angles that are equal. These identities are essential for proving and simplifying more complex trigonometric problems.
The double angle formula

Sin double angle formula

To calculate the double angle (2θ) of sine related to the original angle (θ), we will use the following formula:
sin(2θ) = 2 * sin(θ) * cos(θ)
You can also derive the sin double angle formula using the angle sum identity. Since the sum of two sines is:
sin(x + y) = sin(x)*cos(y) + cos(y)*sin(x)
Then for double angle we can write:
sin(2θ) = sin(θ + θ) = sin(θ)*cos(θ) + cos(θ)*sin(θ),

Cos double angle formula

To calculate cos double angle, there are actually few popular formulas. The most popular cosine double angle formulas are:
cos(2θ) = cos²(θ) - sin²(θ)
2 * cos²(θ) - 1
1 - 2 * sin²(θ)
Any of these three formulas will deliver the result for you, so you can safely use any of them!

Tan double angle formula

To calculate tangent double angle, there is one formula that is commonly used. Formula for tan double angle is:
tan(2θ) = 2 * tan(θ) / (1 - tan²(θ))

Learn about double angles

There is a lot of information available online about the double angle formulas.
Double angle formulas at Wolfram

John Cruz
Article author
John Cruz
John is a PhD student with a passion to mathematics and education. In his freetime John likes to go hiking and bicycling.

Double Angle Formula Calculator English
Published: Tue Aug 03 2021
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