Trigonometric Values Table
Exact values for key angles on the unit circle.
| Angle (°) | Angle (rad) | $\sin(\theta)$ | $\cos(\theta)$ | $\tan(\theta)$ | $\csc(\theta)$ | $\sec(\theta)$ | $\cot(\theta)$ |
|---|---|---|---|---|---|---|---|
| 0° | $0$ | $0$ | $1$ | $0$ | $\infty$ | $1$ | $\infty$ |
| 30° | $\frac{\pi}{6}$ | $\frac{1}{2}$ | $\frac{\sqrt{3}}{2}$ | $\frac{1}{\sqrt{3}}$ | $2$ | $\frac{2}{\sqrt{3}}$ | $\sqrt{3}$ |
| 45° | $\frac{\pi}{4}$ | $\frac{1}{\sqrt{2}}$ | $\frac{1}{\sqrt{2}}$ | $1$ | $\sqrt{2}$ | $\sqrt{2}$ | $1$ |
| 60° | $\frac{\pi}{3}$ | $\frac{\sqrt{3}}{2}$ | $\frac{1}{2}$ | $\sqrt{3}$ | $\frac{2}{\sqrt{3}}$ | $2$ | $\frac{1}{\sqrt{3}}$ |
| 90° | $\frac{\pi}{2}$ | $1$ | $0$ | $\infty$ | $1$ | $\infty$ | $0$ |
| 180° | $\pi$ | $0$ | $-1$ | $0$ | $\infty$ | $-1$ | $\infty$ |
| 270° | $\frac{3\pi}{2}$ | $-1$ | $0$ | $\infty$ | $-1$ | $\infty$ | $0$ |
| 360° | $2\pi$ | $0$ | $1$ | $0$ | $\infty$ | $1$ | $\infty$ |
0°$0$
$\sin(\theta)$$0$
$\cos(\theta)$$1$
$\tan(\theta)$$0$
$\csc(\theta)$$\infty$
$\sec(\theta)$$1$
$\cot(\theta)$$\infty$
30°$\frac{\pi}{6}$
$\sin(\theta)$$\frac{1}{2}$
$\cos(\theta)$$\frac{\sqrt{3}}{2}$
$\tan(\theta)$$\frac{1}{\sqrt{3}}$
$\csc(\theta)$$2$
$\sec(\theta)$$\frac{2}{\sqrt{3}}$
$\cot(\theta)$$\sqrt{3}$
45°$\frac{\pi}{4}$
$\sin(\theta)$$\frac{1}{\sqrt{2}}$
$\cos(\theta)$$\frac{1}{\sqrt{2}}$
$\tan(\theta)$$1$
$\csc(\theta)$$\sqrt{2}$
$\sec(\theta)$$\sqrt{2}$
$\cot(\theta)$$1$
60°$\frac{\pi}{3}$
$\sin(\theta)$$\frac{\sqrt{3}}{2}$
$\cos(\theta)$$\frac{1}{2}$
$\tan(\theta)$$\sqrt{3}$
$\csc(\theta)$$\frac{2}{\sqrt{3}}$
$\sec(\theta)$$2$
$\cot(\theta)$$\frac{1}{\sqrt{3}}$
90°$\frac{\pi}{2}$
$\sin(\theta)$$1$
$\cos(\theta)$$0$
$\tan(\theta)$$\infty$
$\csc(\theta)$$1$
$\sec(\theta)$$\infty$
$\cot(\theta)$$0$
180°$\pi$
$\sin(\theta)$$0$
$\cos(\theta)$$-1$
$\tan(\theta)$$0$
$\csc(\theta)$$\infty$
$\sec(\theta)$$-1$
$\cot(\theta)$$\infty$
270°$\frac{3\pi}{2}$
$\sin(\theta)$$-1$
$\cos(\theta)$$0$
$\tan(\theta)$$\infty$
$\csc(\theta)$$-1$
$\sec(\theta)$$\infty$
$\cot(\theta)$$0$
360°$2\pi$
$\sin(\theta)$$0$
$\cos(\theta)$$1$
$\tan(\theta)$$0$
$\csc(\theta)$$\infty$
$\sec(\theta)$$1$
$\cot(\theta)$$\infty$
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