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How do I solve $tan (\frac{2}{3} x) = \sqrt{3}$ $tan(2/3x)=sqrt3$ ?

1 Answer

Aug 11, 2017

$x = \frac{1}{2} π$ $x=1/2pi$

Explanation:

$tan (\frac{2}{3} x) = \sqrt{3}$ $tan(2/3x)=sqrt3$

$\frac{2}{3} x = arctan \sqrt{3} = \frac{1}{3} π$ $2/3x=arctansqrt3=1/3pi$

$2 x = 3 \cdot \frac{1}{3} π = π$ $2x=3*1/3pi=pi$

$x = \frac{π}{2} = \frac{1}{2} π$ $x=pi/2=1/2pi$

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