Cosine Values
| Cosine Degrees | Values |
| cos 0° | 1 |
| cos 60° | 1/2 |
| cos 30° | √3/2 |
| cos 120° | -1/2 |
| cos 45° | 1/√2 |
| cos 90° | 0 |
| cos 270° | 0 |
| cos 360° | 1 |
| cos 150° | -√3/2 |
| cos 180° | -1 |
We can see in the above table that cos 120°, 150° and 180° are negative values where as cos 0°, 30°, etc. have positive values. The value will be positive in the first and the fourth quadrant for cos. Therefore, cos 240 + cos 550 + cos 1250 + cos 2040 + cos 3000 = ½
Summary:
Show that: cos 240 + cos 550 + cos 1250 + cos 2040 + cos 3000 = ½
It is proved that cos 240 + cos 550 + cos 1250 + cos 2040 + cos 3000 = ½. In a right triangle, cos is defined as the ratio of the length of the adjacent side to the length of the longest side, the hypotenuse.
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