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17 votes
Find the exact value of tan2pi/3

User Arlen
by
4.2k points

2 Answers

12 votes

Answer:

17.137193922

Explanation:

I did the math and got this

User Ekene
by
4.8k points
13 votes


\bf{Tan\left((2\pi)/(3)\right) }

Apply the reference angle to find the angle with the equivalent trigonometric values in the first quadrant. Make the expression negative because the tangent is negative in the second quadrant.


\bf{-tan\left((\pi)/(3)\right) }

The exact value of
\bf{tan\left((\pi)/(3)\right) \ is \ √(3) }.


\bf{-√(3) }

The result can be displayed in multiple ways.

Exact form:


\bf{-√(3) }

Decimal form:

-1.73205080...


\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}

User Kubusz
by
4.8k points