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.
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
We will see the following guidelines that are going to see below on how to calculate the half-angle.
Question: Find the half value of sin, cos, tan for 30 degrees?
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]
Cos A/2 = ±√[(1 + cos A) / 2]
cos(30/2) =±√[(1 + cos A) / 2]
==±√[(1 + (√3/2) / 2]
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]
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.
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,
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.