Solve $cot (\frac{x}{2}) = \frac{\sqrt{3}}{3}$ $cot (x/2) = sqrt(3)/3$ ?

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Solve $cot (\frac{x}{2}) = \frac{\sqrt{3}}{3}$ $cot (x/2) = sqrt(3)/3$ ?

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Answer 1 · 2018-05-16T00:34:40

I got 2pi/3

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Explanation:

explanation is in picture

Answer 2 · 2018-05-16T01:02:20

$x = \frac{2 π}{3} + 2 k π$ $x = (2pi)/3 + 2kpi$

Explanation:

$cot (\frac{x}{2}) = \frac{\sqrt{3}}{3}$ $cot (x/2) = sqrt3/3$
$tan (\frac{x}{2}) = \frac{1}{cot} = \frac{3}{\sqrt{3}} = \sqrt{3}$ $tan (x/2) = 1/(cot) = 3/sqrt3 = sqrt3$
Trig table and unit circle give -->
$\frac{x}{2} = \frac{π}{3} + k π$ $x/2 = pi/3 + kpi$
$x = \frac{2 π}{3} + 2 k π$ $x = (2pi)/3 + 2kpi$

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Solve $cot (\frac{x}{2}) = \frac{\sqrt{3}}{3}$ $cot (x/2) = sqrt(3)/3$ ?

2 Answers

Explanation:

Explanation:

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Solve cot(x2)=√33cot (x/2) = sqrt(3)/3 ?

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Solve $cot (\frac{x}{2}) = \frac{\sqrt{3}}{3}$ $cot (x/2) = sqrt(3)/3$ ?