If $tan (3 x + 30) = 1$ then find the value of $x$ .

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Solution

In $tan (3 x + 30) = 1$
We know $t a n 45^{\circ} = 1$
$\Rightarrow tan 45 = tan (3 x + 30)$
$\Rightarrow 45 = 3 x + 30$
$\Rightarrow 3 x = 45 - 30$
$\Rightarrow 3 x = 15$
$x = \frac{15}{3}$
$∴ x = 5$

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