Sine, Cosine, Tangent Calculator
Advanced Trigonometric Calculator (Plot Any Function)
Trigonometric Table
Functions: sin, cos, tan, cosec, sec, cot | θ in degrees/radians
Inverse: sin⁻¹(x), cos⁻¹(x), tan⁻¹(x) | π ≈ 3.1416
Inverse: sin⁻¹(x), cos⁻¹(x), tan⁻¹(x) | π ≈ 3.1416
Advanced Sine, Cosine, Tangent, Cosecant, Secant, Cotangent Calculator with Graph and Table
Use this free advanced trigonometric calculator to compute, visualize, and analyze all six trigonometric functions: sin(θ), cos(θ), tan(θ), cosec(θ), sec(θ), and cot(θ). This tool supports:
- ✅ Forward calculation of all trig functions
- ✅ Reverse solving (e.g., find θ from sin⁻¹(x))
- ✅ Degree/radian unit selection
- ✅ Interactive graph plotting (with function toggles)
- ✅ Trigonometric table of values
Ideal for students, engineers, mathematicians, and teachers.
📐 Trigonometric Formulas
1. Primary Trigonometric Functions
| Function | Formula | Domain | Range |
|---|---|---|---|
| Sine | sin(θ) = Opposite / Hypotenuse | θ ∈ ℝ | [−1, 1] |
| Cosine | cos(θ) = Adjacent / Hypotenuse | θ ∈ ℝ | [−1, 1] |
| Tangent | tan(θ) = Opposite / Adjacent | θ ≠ (2n+1)·π/2 | ℝ (all real x) |
2. Reciprocal Trigonometric Functions
| Function | Formula | Domain | Range |
|---|---|---|---|
| Cosecant | cosec(θ) = 1 / sin(θ) | θ ≠ n·π | (−∞, −1] ∪ [1, ∞) |
| Secant | sec(θ) = 1 / cos(θ) | θ ≠ (2n+1)·π/2 | (−∞, −1] ∪ [1, ∞) |
| Cotangent | cot(θ) = 1 / tan(θ) = cos(θ) / sin(θ) | θ ≠ n·π | ℝ (except undefined) |
Note: n ∈ ℤ (integers), π ≈ 3.1416
🔁 Inverse Trigonometric Functions
| Function | Formula | Output (Radians) | Output (Degrees) |
|---|---|---|---|
| Inverse Sine | θ = sin⁻¹(x) | [−π/2, π/2] | [−90°, 90°] |
| Inverse Cosine | θ = cos⁻¹(x) | [0, π] | [0°, 180°] |
| Inverse Tangent | θ = tan⁻¹(x) | (−π/2, π/2) | (−90°, 90°) |
📏 Conversion Between Degrees and Radians
- To convert degrees to radians: radians = degrees × (π / 180)
- To convert radians to degrees: degrees = radians × (180 / π)
📈 Graph Features
- Plot any combination of trigonometric functions: sin(θ), cos(θ), tan(θ), cosec(θ), sec(θ), cot(θ)
- Interactive graph with toggle switches and color-coded legend
- Domain: from approximately −2π to 2π
- Asymptotes and undefined values handled visually
📋 Trigonometric Table
The calculator automatically generates a trigonometric table showing values for:
- All six trig functions
- Angles from 0° to 360° (or 0 to 2π radians)
- Includes undefined values shown as ∞
Try the calculator above to explore angles and functions interactively.