Find the value of tan 300°
Find the value of tan 300°
Aniket Singh , 7 Months ago
Grade
11 grade maths others> Find the value of tan 300°...
1 AnswersAskiitians Tutor Team
The tangent of an angle can be found using the unit circle or trigonometric identities. For the angle of 300°, we can relate it to a more familiar angle.
Identifying the Reference Angle
The angle 300° is in the fourth quadrant. To find the reference angle, subtract 300° from 360°:
- 360° - 300° = 60°
Calculating the Tangent
The tangent function is negative in the fourth quadrant. Therefore, we have:
- tan(300°) = -tan(60°)
Value of tan(60°)
We know that:
- tan(60°) = √3
Final Result
Putting it all together, we find:
- tan(300°) = -√3
Thus, the value of tan 300° is -√3.
Approved Last Activity: 6 Months ago
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