What does tan 2π equal?
What does tan 2π equal?
Aniket Singh , 7 Months ago
Grade
10 grade maths> What does tan 2π equal?...
1 AnswersAskiitians Tutor Team
The value of tan 2π is quite straightforward. In trigonometry, the tangent function is periodic with a period of π. This means that the values repeat every π radians.
Understanding the Angle
When we look at 2π radians, it corresponds to a full rotation around the unit circle, bringing us back to the starting point (0 radians).
Calculating tan 2π
Since tan(θ) is defined as the ratio of the sine to the cosine:
- sin(2π) = 0
- cos(2π) = 1
Thus, we can calculate:
tan(2π) = sin(2π) / cos(2π) = 0 / 1 = 0
Final Result
Therefore, the value of tan 2π is 0.
Approved Last Activity: 7 Months ago
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