Half Angle
Result
Half Angle (θ/2)0.7854 rad = 45.00°
sin(θ/2)0.7071
cos(θ/2)0.7071
tan(θ/2)1.0000
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Half Angle — free online calculator.
Formula
Half-angle: θ/2; sin(θ/2) = ±√((1-cosθ)/2); cos(θ/2) = ±√((1+cosθ)/2)
- Half Angle calculates its result from Half, Angle, Angle θ. It uses the formula Half-angle: θ/2; sin(θ/2) = ±√((1-cosθ)/2); cos(θ/2) = ±√((1+cosθ)/2). Change any input to recalculate the result instantly.
- The main inputs are Theta. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Half Angle
Inputs
- Theta: 1.5707963267949 θ, radians
Using Half = 2, Angle = 3, Angle θ = 4, the calculated result is 1.625.
Sample result: Calculating…
Frequently asked questions
What does the Half Angle calculate?
Half Angle — free online calculator.
Which values should I enter?
Enter Theta using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Half-angle: θ/2; sin(θ/2) = ±√((1-cosθ)/2); cos(θ/2) = ±√((1+cosθ)/2).
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.