Question:
If tan (x + 30°) = 1 then find the value of x.
Solution:
As we know that,
$\tan 45^{\circ}=1$
Thus,
if $\tan \left(x+30^{\circ}\right)=1$
$\Rightarrow x+30^{\circ}=45^{\circ}$
$\Rightarrow x=45^{\circ}-30^{\circ}$
$\Rightarrow x=15^{\circ}$
Hence, the value of $x$ is $15^{\circ}$.