Trigonometry Calculator
Solve right triangles, compute trig functions, convert angle units, and reference common angle values — all instant, no buttons needed.
Enter any 2 values (sides or angles). The right angle (γ = 90°) is fixed. All results update instantly.
Trigonometric Functions
sin(θ)
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cos(θ)
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tan(θ)
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csc(θ)
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sec(θ)
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cot(θ)
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Inverse Functions
arcsin(value)
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arccos(value)
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arctan(value)
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Degrees ↔ Radians ↔ Gradians
Enter any angle value above
Decimal Degrees ↔ DMS (Degrees Minutes Seconds)
Enter a decimal degree value above
Common Angles Reference
All trig values for standard angles. Values are exact where possible.
| Angle (°) | sin | cos | tan | csc | sec | cot |
|---|
FAQ
How do I solve a right triangle?
Enter any two known values (sides or angles) in the Right Triangle Solver. The calculator instantly computes all remaining sides, angles, area, and perimeter using the Pythagorean theorem and basic trig ratios.
What is the difference between degrees, radians, and gradians?
A full circle is 360 degrees, 2π radians, or 400 gradians. Radians are the natural unit in mathematics (arc length = radius × angle). Gradians divide a circle into 400 parts, used in surveying and some European engineering contexts.
What does tan(90°) = ∞ mean?
At 90° (and 270°), the tangent function is undefined because cos(θ) = 0, making the ratio sin/cos approach infinity. The secant is similarly undefined at these angles. The calculator displays ∞ to indicate this.
How do I convert DMS to decimal degrees?
Decimal degrees = Degrees + (Minutes / 60) + (Seconds / 3600). For example, 45° 30' 15" = 45 + 30/60 + 15/3600 = 45.504167°. Use the Conversions tab for instant conversion.