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Double Angle Identities Calculator

deg

Result

Calculated result Ready Change any value to calculate instantly.
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Double Angle Identities Calculator — precise domain-aware calculation.

Formula

For θ in degrees: sin(2θ) = 2sinθcosθ; cos(2θ) = cos²θ − sin²θ; tan(2θ) = sin(2θ)/cos(2θ), for cos(2θ) ≠ 0 only.
  • Double Angle Identities Calculator evaluates the double-angle trigonometric identities with the indicated inputs. For θ in degrees: sin(2θ) = 2sinθcosθ; cos(2θ) = cos²θ − sin²θ; tan(2θ) = sin(2θ)/cos(2θ), for cos(2θ) ≠ 0 only. Results are conditional on the stated domain; no general-purpose equation solver is implied.
  • The main inputs are Angle. 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: Double Angle Identities

Inputs
  • Angle: 30 deg

At θ = 30°, sin(2θ) ≈ 0.8660254038, cos(2θ) = 0.5, tan(2θ) ≈ 1.7320508076; at θ = 45°, tangent is undefined.

Sample result: Calculating…

Frequently asked questions

What does the Double Angle Identities calculate?

Double Angle Identities Calculator — precise domain-aware calculation.

Which values should I enter?

Enter Angle using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: For θ in degrees: sin(2θ) = 2sinθcosθ; cos(2θ) = cos²θ − sin²θ; tan(2θ) = sin(2θ)/cos(2θ), for cos(2θ) ≠ 0 only..

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.

Page information

Updated: October 7, 2026