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.
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.
