Trig Calculator: Solve Trigonometric Functions & Triangles
Compute trigonometric functions (sin, cos, tan) and inverse functions with degree and radian angle toggles.
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How to Use the Trig Calculator: Sin, Cos, Tan & Inverse Trigonometry
- 1Toggle between Degrees and Radians.
- 2Enter angle value.
- 3Read computed values for sin, cos, tan, cot, sec, and csc.
Formula & How It Works
Right Triangle Trigonometric Ratios
Ratios of sides relative to acute angle θ: sin=Opp/Hyp, cos=Adj/Hyp, tan=Opp/Adj.
Worked Examples
Evaluating sin(30°)
Input: 30 degrees
Explanation: sin(30°) = 1/2 exactly.
Frequently Asked Questions
Why is tan(90°) undefined?▼
Because tan(θ) = sin(θ)/cos(θ). At 90°, cos(90°) = 0, causing division by zero.
Quick Reference & Conversion Table
| Angle (Deg) | Angle (Rad) | sin(θ) | cos(θ) | tan(θ) |
|---|---|---|---|---|
| 0° | 0 | 0 | 1 | 0 |
| 30° | π/6 | 0.500 | 0.866 | 0.577 |
| 45° | π/4 | 0.707 | 0.707 | 1.000 |
| 60° | π/3 | 0.866 | 0.500 | 1.732 |
| 90° | π/2 | 1.000 | 0 | Undefined |
⚠️ Common Pitfalls to Avoid
- •Entering degree angles while calculator is in radian mode (e.g. sin(90 rad) ≠ sin(90°)).
💡 Practical Real-World Uses
- •Surveying land elevations, calculating roof pitches, and navigational triangulation.
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