How to find exact value of $tan (330)$ $tan(330)$ ?

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How to find exact value of $tan (330)$ $tan(330)$ ?

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Answer 1 · 2017-11-07T03:32:11

$tan (330) = - \frac{1}{\sqrt{3}}$ $tan(330) =- 1/sqrt3$

Explanation:

$tan (x - y) = \frac{tan x - tan y}{1 + tan x tan y}$ $tan(x - y) = [ tanx - tany ] / [ 1 + tanx tany]$
$tan (360 - 30) = \frac{tan 360 - tan 30}{1 + tan 360 tan 30}$ $tan(360-30) = [ tan360 - tan30 ] / [ 1 + tan360 tan30]$

We know that:
$tan 360 = 0$ $tan360=0$
$tan 30 = \frac{1}{\sqrt{3}}$ $tan30=1/sqrt3$

$tan (330) = \frac{0 - \frac{1}{\sqrt{3}}}{1 + 0 \cdot \frac{1}{\sqrt{3}}}$ $tan(330) = [0 - 1/sqrt3 ] / [ 1 + 0 *1/sqrt3]$

$tan (330) = - \frac{1}{\sqrt{3}}$ $tan(330) =- 1/sqrt3$

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How to find exact value of $tan (330)$ $tan(330)$ ?

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How to find exact value of tan(330)tan(330)?

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How to find exact value of $tan (330)$ $tan(330)$ ?