What is the Double Angle Calculator?
An online math tool on LeCalculators that solves double angle calculator problems with clear numeric results for study and everyday use.
Double Angle Calculator
Enter θ to compute sin 2θ, cos 2θ, and tan 2θ from double-angle formulas.
Enter angle θ
Choose degrees or radians for θ.
About this calculator
How to use Double Angle Calculator, plus the formulas and logic behind the results.
Tool description
Double-angle formulas express trig of 2θ in terms of trig of θ.
How to use
- Review the input fields and choose degrees or radians when asked.
- Enter the known values using consistent units.
- Select Calculate to view results.
- Adjust inputs and recalculate as needed.
Formulas & reference
sin 2θ = 2 sin θ cos θcos 2θ = cos²θ − sin²θtan 2θ = 2 tan θ / (1 − tan²θ)
Trig tips
- Confirm angle mode (degrees vs radians) before evaluating sin, cos, tan.
- Right-triangle tools assume a 90° angle between legs a and b.
- Triangle inequality: each side must be shorter than the sum of the other two.
Calculation logic
Evaluates sin, cos, tan of θ then applies double-angle identities (and direct 2θ when safer for tan).
Educational calculator. Floating-point rounding may differ slightly from textbook answers.
Double Angle Calculator FAQ
Common questions about this calculator and how to use the results.
Do I use degrees or radians?
Many trig tools include an angle mode selector. Match the mode to how your angle is written—degrees (°) or radians.
Why is my answer undefined or invalid?
Trig functions have domain limits (for example arcsin needs −1…1). Triangle tools also reject sides that violate the triangle inequality.
How precise are the results?
Results use floating-point math and are rounded for display with mathFormat. Tiny rounding differences vs hand calculation are normal.
Is this calculator free?
Yes. LeCalculators trigonometry tools are free to use in your browser with guides and FAQs on each page.
Can I use this for homework?
Yes—use it to check work. Always show your own steps when your teacher requires a written solution.