Find the value of cos 210°?
Find the value of cos 210°?
Aniket Singh , 5 Months ago
Grade
11 grade maths others> Find the value of cos 210°?...
1 AnswersAskiitians Tutor Team
To find the value of cos 210°, we can use the unit circle or trigonometric identities. The angle 210° is located in the third quadrant, where cosine values are negative.
Understanding the Angle
210° can be expressed as:
- 210° = 180° + 30°
This means we can use the reference angle of 30° to find the cosine value.
Cosine Value of the Reference Angle
The cosine of 30° is:
- cos 30° = √3/2
Applying the Sign
Since 210° is in the third quadrant, the cosine value will be negative:
- cos 210° = -cos 30°
Final Calculation
Thus, we have:
- cos 210° = -√3/2
In summary, the value of cos 210° is -√3/2.
Approved Last Activity: 5 Months ago
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