Trigonometry Calculator
Calculate trigonometric functions and convert between degrees and radians
Trigonometric Formulas
Basic Functions
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
Inverse Functions
arcsin(x) = θ where sin(θ) = x
arccos(x) = θ where cos(θ) = x
arctan(x) = θ where tan(θ) = x
Unit Conversion
Degrees to Radians: × π/180
Radians to Degrees: × 180/π
1 complete rotation = 360° = 2π rad
Benefits & Features
Our trigonometry calculator offers multiple advantages:
Comprehensive Functions
- All basic trig functions (sin, cos, tan)
- Inverse functions (arcsin, arccos, arctan)
- Degree and radian support
- Unit conversion
- Step-by-step explanations
Easy to Use
- Simple and intuitive interface
- Auto-calculation feature
- Clear result display
- Mobile-friendly design
- Multiple calculation modes
Versatile Applications
- Engineering calculations
- Physics problems
- Navigation and mapping
- Architecture and construction
- Scientific research
Frequently Asked Questions
Degrees and radians are different units for measuring angles. Degrees range from 0° to 360° for a full circle, while radians range from 0 to 2π. To convert degrees to radians, multiply by π/180. To convert radians to degrees, multiply by 180/π.
Inverse trigonometric functions (arcsin, arccos, arctan) find the angle when you know the ratio. For example, if sin(θ) = 0.5, then arcsin(0.5) = 30° or π/6 radians. These functions are useful in many geometric and physics calculations.
Tangent becomes undefined at 90° (π/2 radians) and its multiples because it involves division by zero at these points. Also, inverse sine and cosine are only defined for inputs between -1 and 1, as these functions represent ratios that cannot exceed 1 in magnitude.
Our calculator uses JavaScript's built-in Math functions for calculations, providing results with high precision (up to 6 decimal places). For special angles (like 30°, 45°, 60°), the results are exact values when possible.