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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Give the values of angles for cos function.
Cosine is one of the most important functions of trigonometry which deals with the relationship between the angles and sides of a right-angle triangle.
Answer: cos 0° = 1, cos 30° = √3/2, cos 45° = 1/√2, cos 60° = 1/2, cos 90° = 0, cos 120° = -1, cos 150° = -√3/2, cos 180° = -1, cos 270° = 0, cos 360° = 1
We will find the values of angles for cos function.
Explanation:
in a right triangle , cos θ is given by adjacent side / hypotenuse ,
where θ is the angle formed between the hypotenuse and the base of a right-angled triangle.
the various cosine values based on the angle θ is listed below in the table.
| θ | cos θ |
|---|---|
| 0 | cos 0° = 1 |
| 30 | cos 30° = √3/2 |
| 45 | cos 45° = 1/√2 |
| 60 | cos 60° = 1/2 |
| 90 | cos 90° = 0 |
| 120 | cos 120° = cos (90 + 30)° = - sin 30° = -1/2 |
| 150 | cos 150° = cos (90 + 60)° = - sin 60° = -√3/2 |
| 180 | cos 180° = cos (180 - 0)° = - cos 0° = -1 |
| 270 | cos 270° = cos( 270 - 0)° = -sin 0° = 0 |
| 360 | cos 360° = cos( 360 + 0)° = cos 0° = 1 |