Trigonometry CalculatorCalculate all six trig functions (sin, cos, tan, csc, sec, cot) and inverse trig functions.
Trigonometry Calculator
Calculate all six trig functions (sin, cos, tan, csc, sec, cot) and inverse trig functions.
Choose Mode
Select forward (angle→values) or inverse (value→angle).
Enter Input
Input an angle (degrees/radians) or a trigonometric value.
View Results
See all six trig functions or the resulting angle.
What Is Trigonometry Calculator?
The Trigonometry Calculator computes all six trigonometric functions for any angle, or finds angles from trigonometric values using inverse functions. In forward mode, enter an angle in degrees or radians to see sin, cos, tan, csc, sec, and cot values. Quick-select buttons for common angles (0°, 30°, 45°, 60°, 90°, 180°) make it easy to reference standard values. In inverse mode, select arcsin, arccos, or arctan, enter a value, and get the angle in both degrees and radians.
Why Use Our Trigonometry Calculator?
- All six trig functions calculated simultaneously
- Both degrees and radians supported
- Inverse trig functions (arcsin, arccos, arctan)
- Quick-select buttons for common reference angles
Common Use Cases
Math Homework
Calculate trig function values for geometry and calculus problems.
Engineering
Compute angles and distances for structural and mechanical design.
Physics
Solve wave, rotation, and vector decomposition problems.
Navigation
Calculate bearings, distances, and positions using trigonometry.
Technical Guide
The six trigonometric functions of angle θ: sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, tan(θ) = sin/cos = opposite/adjacent. Reciprocals: csc(θ) = 1/sin(θ), sec(θ) = 1/cos(θ), cot(θ) = 1/tan(θ). Conversion: radians = degrees × π/180. Inverse functions return angles: arcsin(x) = θ where sin(θ) = x (domain: -1 ≤ x ≤ 1, range: -π/2 to π/2). Undefined values: tan(90°) is undefined (cos = 0), csc(0°) is undefined (sin = 0). The Pythagorean identity: sin²(θ) + cos²(θ) = 1.
Tips & Best Practices
- 1Remember: sin(30°) = 0.5, cos(60°) = 0.5, tan(45°) = 1
- 2Radians are the natural unit in calculus; degrees are more intuitive for everyday use
- 3π radians = 180°, so π/6 = 30°, π/4 = 45°, π/3 = 60°
- 4Values near 0 or ±1 for sin/cos can indicate special angles (0°, 30°, 45°, 60°, 90°)
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Math & CalculatorsFrequently Asked Questions
QWhat is the difference between degrees and radians?
QWhy is tan(90°) undefined?
QWhat are the domains of inverse trig functions?
QWhat is SOH-CAH-TOA?
QCan I use trig functions for non-right triangles?
About Trigonometry Calculator
Trigonometry Calculator is a free online tool from FreeToolkit.ai. All processing happens directly in your browser — your data never leaves your device. No registration required. No ads. Just fast, reliable tools.