Trigonometry Table
Values of sin, cos, and tan for standard angles with exact and decimal representations. Toggle between degrees and radians.
Display:
| Angle (°) | Angle (rad) | sin | cos | tan |
|---|---|---|---|---|
| 0° | 0 | 0 | 1 | 0 |
| 30° | π/6 | 1/2 | √3/2 | √3/3 |
| 45° | π/4 | √2/2 | √2/2 | 1 |
| 60° | π/3 | √3/2 | 1/2 | √3 |
| 90° | π/2 | 1 | 0 | — |
| 120° | 2π/3 | √3/2 | −1/2 | −√3 |
| 135° | 3π/4 | √2/2 | −√2/2 | −1 |
| 150° | 5π/6 | 1/2 | −√3/2 | −√3/3 |
| 180° | π | 0 | −1 | 0 |
| 210° | 7π/6 | −1/2 | −√3/2 | √3/3 |
| 225° | 5π/4 | −√2/2 | −√2/2 | 1 |
| 240° | 4π/3 | −√3/2 | −1/2 | √3 |
| 270° | 3π/2 | −1 | 0 | — |
| 300° | 5π/3 | −√3/2 | 1/2 | −√3 |
| 315° | 7π/4 | −√2/2 | √2/2 | −1 |
| 330° | 11π/6 | −1/2 | √3/2 | −√3/3 |
| 360° | 2π | 0 | 1 | 0 |
How to Use the Trigonometry Table
- Browse the reference table to find the values you need.
- Use search or scroll to locate specific entries.
- Click on a value to copy it or see more details.
- Use the table as a quick reference during calculations or study.
Schnellreferenz
| Von | Nach |
|---|---|
| 1 × 1 | 1 |
| 5 × 5 | 25 |
| 7 × 8 | 56 |
| 9 × 9 | 81 |
| 12 × 12 | 144 |
| 15 × 15 | 225 |
Anwendungsfälle
- •Quick lookup of values during math class or professional work.
- •Verifying calculations without needing a full scientific calculator.
- •Studying mathematical relationships, patterns, and properties.
- •Using as a handy reference during engineering or science tasks.
Formel
Trigonometric functions relate angles to ratios of sides in a right triangle. The unit circle defines sin, cos, and tan for all angles.
Häufig gestellte Fragen
What are the exact values of sin, cos, and tan for standard angles?
Standard angles (0°, 30°, 45°, 60°, 90°) have exact values using square roots: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2, and so on.
Why is tan 90° undefined?
tan(θ) = sin(θ)/cos(θ). At 90°, cos(90°) = 0, so the division is undefined. The tangent function approaches ±∞ near 90°.
How do I convert between degrees and radians?
Multiply degrees by π/180 to get radians. Multiply radians by 180/π to get degrees. For example, 90° = π/2 radians.
What is the unit circle?
The unit circle is a circle of radius 1 centered at the origin. For any angle θ, the point on the circle is (cos θ, sin θ). This defines trigonometric functions for all angles, not just acute ones.