Instant sin, cos, tan, sec, csc & cot — degrees or radians
Common Angles
Trig Functions
Unit Circle Reference
| Angle (°) | Rad | sin | cos | tan |
|---|---|---|---|---|
| 0° | 0 | 0 | 1 | 0 |
| 30° | π/6 | 1/2 | √3/2 | 1/√3 |
| 45° | π/4 | √2/2 | √2/2 | 1 |
| 60° | π/3 | √3/2 | 1/2 | √3 |
| 90° | π/2 | 1 | 0 | ∞ |
| 180° | π | 0 | −1 | 0 |
| 270° | 3π/2 | −1 | 0 | ∞ |
| 360° | 2π | 0 | 1 | 0 |
Key Identities
Use this free trigonometry calculator to instantly find all six trig functions — sin, cos, tan, csc, sec, and cot — for any angle in degrees or radians. Whether you're working through homework, checking unit circle values, or verifying identities, this tool delivers precise results with a built-in reference table and common-angle presets for 0°, 30°, 45°, 60°, 90°, and beyond.
Multiply degrees by π/180. For example, 45° × (π/180) = π/4 ≈ 0.7854 radians. This calculator handles the conversion automatically — just select your unit and enter the angle.
tan(θ) = sin(θ)/cos(θ). At 90°, cos(90°) = 0, which means division by zero. The tangent function has vertical asymptotes at 90°, 270°, and any odd multiple of π/2 radians.
Cosecant (csc) is the reciprocal of sine: csc(θ) = 1/sin(θ). Similarly, sec = 1/cos and cot = 1/tan. These reciprocal functions are undefined whenever their denominator (the primary function) equals zero.
The key angles are 0°, 30°, 45°, 60°, and 90° (and their equivalents in other quadrants). These correspond to sine and cosine values of 0, 1/2, √2/2, √3/2, and 1 — the foundation of most trig problems.