How do you find the exact value for tan 120°?
How do you find the exact value for tan 120°?
Aniket Singh , 9 Months ago
Grade
10 grade maths> How do you find the exact value for tan 1...
1 AnswersAskiitians Tutor Team
To find the exact value of tan 120°, we can use the properties of the tangent function and the unit circle.
Understanding the Angle
120° is located in the second quadrant of the unit circle. In this quadrant, the tangent function is negative.
Reference Angle
The reference angle for 120° is:
- 180° - 120° = 60°
Tangent Value
We know that:
- tan 60° = √3
Since 120° is in the second quadrant, the tangent value will be negative:
- tan 120° = -tan 60° = -√3
Final Result
Thus, the exact value of tan 120° is -√3.
Approved Last Activity: 9 Months ago
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