12 grade maths others
Find the value of:
- cos 210
Find the value of:
- cos 210
1 Answer
Askiitians Tutor Team
Approved Tutor Answer9 Months agoTo find the value of cos 210 degrees, we can use the unit circle and the properties of trigonometric functions.
Understanding the Angle
The angle 210 degrees is located in the third quadrant of the unit circle. In this quadrant, the cosine values are negative.
Reference Angle
The reference angle for 210 degrees is found by subtracting 180 degrees:
- 210° - 180° = 30°
Cosine Value
The cosine of the reference angle (30 degrees) is:
- cos 30° = √3/2
Since 210 degrees is in the third quadrant, the cosine value will be negative:
- cos 210° = -√3/2
Final Answer
The value of cos 210 degrees is -√3/2.
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