# Half Angle Calculator

On this page, we are providing a half-angle calculator that helps us to calculate the trigonometric functions of half-angle. Give the inputs of angle and degrees or radians tap the calculate button so that you will get the answers effortlessly.

To Calculate
Angle

Half Angle Calculator: For calculating the trigonometric functions we use our calculator tool half-angle which gives you error-free results easily. And also we will give detailed steps and examples to learn the formulas and concepts to do the half-angle problems quickly without any errors.

## How to Find Half Angle?

The half-angle can be defined as it is the expression of trigonometric functions of the angle  θ/2 in terms of θ. And also we will see the formulas of half-angle.

Half-Angle Formulas of Sin, Cos, Tan

• Sin A/2 = ±√[(1 - cos A) / 2]
• Cos A/2 = ±√[(1 + cos A) / 2]
• Tan A/2 = ±√[1 - cos A] / [1 + cos A] (or) sin A / (1 + cos A) (or) (1 - cos A) / sin A

We will see the following guidelines that are going to see below on how to calculate the half-angle.

• Get the value from the question and then apply the formula.
• After that substitute the values in it and simplify them.
• Finally, you will get the answer for half-angle.

Example:

Question: Find the half value of sin, cos, tan for 30 degrees?

Solution:

Given A= 30 degrees.

We will apply the formula and substitute the values in it.

Sin A/2 = ±√[(1 - cos A) / 2]

sin (30/2) = ±√[(1 - cos 30) / 2]

=±√[(1 - (√3/2) / 2]

0.2588

Cos A/2 = ±√[(1 + cos A) / 2]

cos(30/2) =±√[(1 + cos A) / 2]

==±√[(1 + (√3/2) / 2]

= 0.966

Tan A/2 = ±√[1 - cos A] / [1 + cos A]

tan(30/2) = ±√[1 - cos 30] / [1 + cos 30]

= =±√[(1 - (√3/2) / 2] / [(1 + (√3/2) / 2]

=0.26795

Therefore, the half-angle values of sin A/2 = 0.2588, Cos A/2=  0.966, Tan A/2 = 0.26795.

Use our calculators that are available at arithmeticcalculators.com to complete your assignments easily and quickly.

### Frequently Asked Questions on Half Angle Calculator

1. How to calculate half angles of sin, cos, and tan?

We can calculate half-angles of  sin, cos, and tan by using half-angle formulas,

• Sin A/2 = ±√[(1 - cos A) / 2]
• Cos A/2 = ±√[(1 + cos A) / 2]
• Tan A/2 = ±√[1 - cos A] / [1 + cos A]

2. What is the best website that offers the best half-angle calculator?

Arithmeticcalculators.com is the best website that offers the best half-angle calculator to complete your work easily.

3.  Why do we need to use half-angle formulas?

When we use trigonometric values of an angle that can be given as half, then the half-angle formulas are the better option.

4. How half-angle calculator is used?

It is used to get instant outcomes, simply by giving the inputs and by clicking on the calculate button, we get the answer easily.