Find the Exact Value tan((4pi)/3)

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Trigonometry

$\tan (\frac{4 π}{3})$

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\tan (\frac{π}{3})$

The exact value of $\tan (\frac{π}{3})$ is $\sqrt{3}$ .

$\sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3}$

Decimal Form:

$1.73205080 \dots$

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