Download your Word document
Double-Angle Identity Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Double-Angle Identity Calculator — result sheet
Calculate sin(2θ), cos(2θ), and tan(2θ) from the sine and cosine of θ.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: sin(2θ)=2sinθcosθ; cos(2θ)=cos²θ−sin²θ; tan(2θ)=sin(2θ)/cos(2θ).
The page uses the supplied sine and cosine directly and checks that they represent a unit-circle point before evaluating the identities.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- sin(θ) — minimum -1; maximum 1
- cos(θ) — minimum -1; maximum 1
Worked example
| Input | Value |
|---|---|
| sin(θ) | 0.6 |
| cos(θ) | 0.8 |
sin(2θ) = 0.96; cos(2θ) = 0.28; tan(2θ) ≈ 3.4286.
Assumptions and limits
- The sine and cosine pair should satisfy sin²θ+cos²θ=1 within rounding tolerance.
- Tangent of the doubled angle is undefined when cos(2θ)=0, so that boundary is rejected.
- The result is independent of whether the original angle is expressed in degrees or radians.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.