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.
クイックリファレンス
| 変換元 | 変換先 |
|---|---|
| 1 × 1 | 1 |
| 5 × 5 | 25 |
| 7 × 8 | 56 |
| 9 × 9 | 81 |
| 12 × 12 | 144 |
| 15 × 15 | 225 |
使用例
- •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.
計算式
Trigonometric functions relate angles to ratios of sides in a right triangle. The unit circle defines sin, cos, and tan for all angles.
よくある質問
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.