Trigonometric Calculator
Calculate sine, cosine, and tangent values, or find an angle using inverse trigonometric functions with a clear step-by-step calculation.
Calculate a trigonometric value
Select a trigonometric function, choose degrees or radians, and enter your angle. The calculator will calculate the result using your actual number.
Your result
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| Function | — |
| Input | — |
| Angle mode | — |
| Result | — |
Step-by-step calculation
What is a trigonometric function?
Trigonometric functions describe relationships between angles and sides of triangles. The three most common trigonometric functions are sine, cosine, and tangent.
In addition to these functions, inverse trigonometric functions can be used to find an angle when a trigonometric ratio is known.
How is a trigonometric value calculated?
The calculator first identifies the selected function and angle mode. It then applies the appropriate trigonometric formula and calculates the numerical result.
For degree input, the angle is converted to radians internally because JavaScript’s mathematical functions use radians.
Trigonometric calculator example
Suppose you want to calculate the sine of 30 degrees.
Convert 30° to radians:
30 × π ÷ 180 = π ÷ 6
Therefore:
sin(π ÷ 6) = 0.5
Therefore, the sine of 30 degrees is 0.5.
Formula used
sin(θ) = opposite ÷ hypotenuse
Cosine:
cos(θ) = adjacent ÷ hypotenuse
Tangent:
tan(θ) = opposite ÷ adjacent
Inverse sine:
θ = sin⁻¹(x)
Inverse cosine:
θ = cos⁻¹(x)
Inverse tangent:
θ = tan⁻¹(x)
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Important: This calculator is provided for general informational and educational purposes only. The results are based on the values entered and standard mathematical formulas. Calculations are rounded for display and should be independently verified when high precision is required.