Basic Trig Equation Solver
Result
Principal solution30°
Alternate in [0°,360°]150°
General: x = principal + 360°n30° + 360°n
General: x = alternate + 360°n150° + 360°n
First 4 positive solutions30°, 150°, 390°, 510°
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Basic Trig Equation Solver — free online calculator.
Formula
sin: x = arcsin(v) + 360°n or 180°−arcsin(v) + 360°n; cos: x = ±arccos(v) + 360°n; tan: x = arctan(v) + 180°n
- Basic Trig Equation Solver calculates its result from Arctan V, Periods. It uses the formula sin: x = arcsin(v) + 360°n or 180°−arcsin(v) + 360°n; cos: x = ±arccos(v) + 360°n; tan: x = arctan(v) + 180°n. Change any input to recalculate the result instantly.
- The main inputs are Function, Value. 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: Basic Trig Equation Solver
Inputs
- Function: sin
- Value: 0.5
Using Arctan V = 10, Periods = 3, the calculated result is 550.
Sample result: Calculating…
Frequently asked questions
What does the Basic Trig Equation Solver calculate?
Basic Trig Equation Solver — free online calculator.
Which values should I enter?
Enter Function, Value using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: sin: x = arcsin(v) + 360°n or 180°−arcsin(v) + 360°n; cos: x = ±arccos(v) + 360°n; tan: x = arctan(v) + 180°n.
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.