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Half Angle Calculator
Enter the value of the angle in the box below and choose the unit and trig value to calculate half-angle through the half-angle formula calculator.
Table of Contents:
The half-angle identity calculator is an online tool devised to find the value of half-angle using the value of the full angle. Users can choose between different units of angles.
What is the half-angle?
Half-angle is a term widely used in trigonometric calculations and it refers to the half of an angle. They are represented as:
- Sin (θ/2)
- Cos (θ/2)
- Tan (θ/2)
A double angle calculator can be used to find the double angle of trignometric identities.
Half-Angle Formula
The formulas used for half-angle in trigonometry are:
- Sin (θ/2) = ± √(1-cosθ)/2
- Cos (θ/2) = ± √(1+cosθ)/2
- Tan (θ/2) = ± Sin(θ) / 1 +Cos(θ)
How to find Half-Angle?
To find half-angle, you need to follow simple simple steps. Let’s understand this through an example.
Example
Find the half angle of sin 30 degrees.
Solution:
Step 1: Substitute the angle in the formula.
Sin (θ/2) = ± √(1-cosθ)/2
Step 2: calculate.
Sin (θ/2) = ± √(1-cos(30))/2
= ± 0.2588
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