If $\sqrt{3}tan5\theta=1$, then find the value of $\theta$.
Given: $\sqrt{3}tan5\theta=1$.
To do: To find the value of $\theta$.
Solution:
As given, $\sqrt{3}tan5\theta=1$
$\Rightarrow tan5\theta=\frac{1}{\sqrt{3}}$
$\Rightarrow tan5\theta=tan30^{o}$ [$\because tan30^{o}=\frac{1}{\sqrt{3}}$]
$\Rightarrow 5\theta=30^{o}$
$\Rightarrow \theta=\frac{30^{o}}{5}$
$\Rightarrow \theta=6^{o}$
Thus, $\theta=6^{o}$.
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