How do you solve $\sqrt{3} tan (\frac{x}{4}) + 5 = 4$ $sqrt3tan(x/4)+5=4$ ?

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Answer 1 · 2016-08-17T18:03:31

$x = \frac{10 π}{3}$ $x=(10pi)/3$

$\sqrt{3} tan (\frac{x}{4}) + 5 = 4$ $sqrt3tan(x/4)+5=4$

or

$\sqrt{3} tan (\frac{x}{4}) = 4 - 5$ $sqrt3tan(x/4)=4-5$

or

$\sqrt{3} tan (\frac{x}{4}) = - 1$ $sqrt3tan(x/4)=-1$

or

$tan (\frac{x}{4}) = - \frac{1}{\sqrt{3}}$ $tan(x/4)=-1/sqrt3$

or

$tan (\frac{x}{4}) = tan (\frac{5 π}{6})$ $tan(x/4)=tan((5pi)/6)$

or

$\frac{x}{4} = \frac{5 π}{6}$ $x/4=(5pi)/6$

or

$x = \frac{10 π}{3}$ $x=(10pi)/3$

How do you solve sqrt3tan(x/4)+5=4√3tan(x4)+5=4sqrt3tan(x/4)+5=4?