Trigonometry Calculator
Solve complex trigonometric functions including Sine, Cosine, Tangent, and their inverses.
Trig Parameters
Select your function, operating angle/ratio, and prefered unit output.
Solution
Trigonometry Calculator: Angle & Ratio Solver
Welcome to the Comprehensive Trigonometry Calculator. Whether you are modeling the periodic motion of a pendulum, charting coordinates on a unit circle, or applying SOH CAH TOA to a right-angled triangle in geometry, our calculator provides completely accurate trigonometric evaluations. Simply input an angle in degrees or radians to deduce its ratio (Sine, Cosine, Tangent) or operate their Inverse arc-functions (Arcsine, Arccosine, Arctangent) to map a given ratio precisely back to its origin angle.
The Core Trig Functions (SOH CAH TOA)
At its heart, trigonometry strictly analyzes the relationships linking the interior angles of right triangles directly to the lengths of their corresponding side walls.
- Sine (sin)
Opposite ÷ Hypotenuse
- Cosine (cos)
Adjacent ÷ Hypotenuse
- Tangent (tan)
Opposite ÷ Adjacent
Reciprocals & Inverse Functions
The Reciprocals (Flipped Ratios)
- Cosecant (csc): The mathematical inverse of Sine (1 / sin). Maps Hypotenuse ÷ Opposite.
- Secant (sec): The mathematical inverse of Cosine (1 / cos). Maps Hypotenuse ÷ Adjacent.
- Cotangent (cot): The mathematical inverse of Tangent (1 / tan). Maps Adjacent ÷ Opposite.
Inverse Trigonometry (Arc-Functions)
Instead of feeding the algorithm an angle to receive a side length ratio, you input an existing side ratio (a value strictly between -1 and 1 for sine/cosine) and determine what specific angle triggered that result. These operations are annotated as arcsin(x), arccos(x), and arctan(x).
Academic & Scientific References
For further understanding and validation of the formulas used above, we recommend exploring these authoritative resources: