If tan (3x + 30°) = 1 then x = ?

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).

 

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