How do you find the values of $θ$ $theta$ given $cot θ = \frac{\sqrt{3}}{3}$ $cottheta=sqrt3/3$ ?

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How do you find the values of $θ$ $theta$ given $cot θ = \frac{\sqrt{3}}{3}$ $cottheta=sqrt3/3$ ?

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Answer 1 · 2016-12-25T23:41:01

$\frac{π}{6} + k π$ $pi/6 + kpi$

Explanation:

$cot t = \frac{1}{tan t} = \frac{\sqrt{3}}{3}$ $cot t = 1/(tan t) = sqrt3/3$
$tan t = \frac{3}{\sqrt{3}} = \sqrt{3}$ $tan t = 3/sqrt3 = sqrt3$
Trig table and unit circle -->
$tan t = \sqrt{3}$ $tan t = sqrt3$ --> $t = \frac{π}{6}$ $t = pi/6$ and $t = \frac{π}{6} + π = \frac{7 π}{6}$ $t = pi/6 + pi = (7pi)/6$
General answers:
$t = \frac{π}{6} + k π$ $t = pi/6 + kpi$

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How do you find the values of $θ$ $theta$ given $cot θ = \frac{\sqrt{3}}{3}$ $cottheta=sqrt3/3$ ?

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How do you find the values of $θ$ $theta$ given $cot θ = \frac{\sqrt{3}}{3}$ $cottheta=sqrt3/3$ ?