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**Punch** Determine all the values of angle $\displaystyle x$ if $\displaystyle 3sinx=tanx$ and $\displaystyle x$ is between $\displaystyle 0^\circ$ and $\displaystyle 360^\circ$. Give the answers correct to 1 decimal place.

$\displaystyle [A] 70.5^\circ, 180^\circ, 250.5^\circ $

$\displaystyle [B] 0^\circ, 70.5^\circ, 180^\circ, 289.5^\circ, 360^\circ$

$\displaystyle [C] 0^\circ, 70.5^\circ, 180^\circ, 250.5^\circ, 360^\circ$

$\displaystyle [D] 70.5^\circ, 180^\circ, 289.5^\circ$

This is weird, I have solved to the point that $\displaystyle cosx=\frac{1}{3}$ and$\displaystyle x$ is in $\displaystyle Q_1, Q_4$. Hence one of the options should have only 2 answers. Did I go wrong?