sin 30° = 0.5000, cos 60° = 0.5000 and tan 45° = 1.0000. The tangent of 90° is undefined.
- sin
- cos
| Degrees | Radians | sin | cos | tan |
|---|---|---|---|---|
| 0 | 0.0000 | 0.0000 | 1.0000 | 0.0000 |
| 5 | 0.0873 | 0.0872 | 0.9962 | 0.0875 |
| 10 | 0.1745 | 0.1736 | 0.9848 | 0.1763 |
| 15 | 0.2618 | 0.2588 | 0.9659 | 0.2679 |
| 20 | 0.3491 | 0.3420 | 0.9397 | 0.3640 |
| 25 | 0.4363 | 0.4226 | 0.9063 | 0.4663 |
| 30 | 0.5236 | 0.5000 | 0.8660 | 0.5774 |
| 35 | 0.6109 | 0.5736 | 0.8192 | 0.7002 |
| 40 | 0.6981 | 0.6428 | 0.7660 | 0.8391 |
| 45 | 0.7854 | 0.7071 | 0.7071 | 1.0000 |
| 50 | 0.8727 | 0.7660 | 0.6428 | 1.1918 |
| 55 | 0.9599 | 0.8192 | 0.5736 | 1.4281 |
| 60 | 1.0472 | 0.8660 | 0.5000 | 1.7321 |
| 65 | 1.1345 | 0.9063 | 0.4226 | 2.1445 |
| 70 | 1.2217 | 0.9397 | 0.3420 | 2.7475 |
| 75 | 1.3090 | 0.9659 | 0.2588 | 3.7321 |
| 80 | 1.3963 | 0.9848 | 0.1736 | 5.6713 |
| 85 | 1.4835 | 0.9962 | 0.0872 | 11.4301 |
| 90 | 1.5708 | 1.0000 | 0.0000 | — |
How it is computed
Each angle is converted to radians (degrees × π ÷ 180), then sine, cosine and tangent are computed and rounded to four decimals. tan = sin ÷ cos, which has no value at 90° because cos 90° = 0.
FAQ
Why does sin go up while cos goes down?+
They are the same curve shifted: sin θ = cos(90° − θ). The chart shows them crossing at 45°, where both equal √2/2.
How do I get angles above 90°?+
Use the reference angle and the quadrant's sign: sin 150° = sin 30°, and cos 150° = −cos 30°. The unit-circle table lists them for the whole turn.