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Anni [7]
3 years ago
14

Using the until circle, what is the exact value of tan 2pi/3

Mathematics
2 answers:
andrew-mc [135]3 years ago
8 0
<h2>Answer:</h2>

The exact value for the expression \tan (\dfrac{2\pi}{3}) is:

                      \tan (\dfrac{2\pi}{3})=-\sqrt{3}

<h2>Step-by-step explanation:</h2>

We are asked to find the exact value of the given trigonometric expression.

The expression is given as:

           \tan (\dfrac{2\pi}{3})

This could also be written as follows:

              \tan (\dfrac{2\pi}{3})=\tan (\pi-\dfrac{\pi}{3})

Now, we know that:

\tan (\pi-\dfrac{\pi}{3})=-\tan (\dfrac{\pi}{3})

Also, we have:

\tan (\dfrac{\pi}{3})=\sqrt{3}

Hence, we finally have:

              \tan (\dfrac{2\pi}{3})=-\sqrt{3}

Klio2033 [76]3 years ago
7 0
Tan 2 pi/3= (sin2pi/3)/(cos2pi/3)= (sqrt 3)/2 dividend by (-1/2)= - sqrt 3
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