Question:
If tan (3x + 30°) = 1 then x = ?
(a) 20
(b) 15°
(c) 10°
(d) 5°
Solution:
As we know that,
$\tan 45^{\circ}=1$
Thus,
if $\tan \left(3 x+30^{\circ}\right)=1$
$\Rightarrow 3 x+30^{\circ}=45^{\circ}$
$\Rightarrow 3 x=45^{\circ}-30^{\circ}$
$\Rightarrow 3 x=15^{\circ}$
$\Rightarrow x=5^{\circ}$
Hence, the correct option is (d).