Expanding Using Double Angle Formulas Calculator

Created By : Vipul Patel

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 01, 2025

Free online expansion using the double angle formula calculator tool is the best tool that helps to simplify the trigonometric expressions using double angle formulas by giving some computations in our tool. Estimate the parameters and just by tapping on the calculate button you will see the answers straightaway.

Choose a function
Enter angle α in degree
  

Simplifying Trig Expressions Using Double Angle Formulas Calculator: Looking for the information on how to simplify the trig expressions using double angle. If yes, you are at the right place. You can learn the process of how to expand trigonometric expressions using double angle formulas and steps using this calculator tool.

We are also provided solved examples for expanding using double angle formulas manually. 

How to Simplify the Expression Using Double Angle Formulas?

Here, we will look into the steps that are given below and calculate the expression using double angle formulas. Go through the steps carefully.

  • First, we will write down the trig expression that was given in the problem.
  • Then, we need to simplify the expression using double-angle formulas.
  • After that you still simply the expression.
  • Finally, you will see the error-free result.

Example:

Question: Simplify the expression below

sin2(x) / 1+ cos2(x)

Solution:

Given, 

sin2(x) / 1+ cos2(x)

Here, we need to know the double angle formulas of sine and cosine.

sin2(x) = 2 sin(x)cos(x)

cos2(x) = cos2(x) - sin2(x) = 1 - sin2(x) = 2cos2(x) -1

Now, we will apply these double angle formulas in teh given expression.

sin2(x) / 1+ cos2(x) = [2 sin(x)cos(x)] / [1 + 2cos2(x) -1]

= [2 sin(x)cos(x)] / [2cos2(x)]

Here, we remove 2 and cos(x) as we have them on both sides of the division.

= [sin(x)] / [cos(x)]

= tan(x)

Therefore, sin2(x) / 1+ cos2(x) = tan(x).

Get hold of these online calculators tools to solve maths problems on any concept available on our website onlinecalculator.guide.

FAQS on Expanding Using Double Angle Formulas Calculator

1. How do you use a double angle formula to simplify the trig expression?

Let us take an example trig expression: 2cos2(x /2) - 1.

We will apply double angle formula, cos2(x) = 2cos2(x) -1.

2cos2(x / 2) - 1 = cos 2(x /2) =cos(x).

2. What are the steps to calculate the double angle formula?

1. First, we will write down the trig expression that was given in the problem.

2. Then, we need to simplify the expression using double-angle formulas.

3. After that you still simply the expression.

4. Finally, you will see the error-free result.

3. How do we use expanding using the double angle formula calculator?

All you need to do is execute the expression in the field of input and press the calculate button so that you will get the answers instantly.

4. What is the double angle?

A double angle is nothing but the angle increases the size of it twice the original angle.