Question

Find the inclination of a line whose slope is
(i) $1$
(ii) $-1$
(iii) $\sqrt{3}$
(iv) $-\sqrt{3}$
(v) $\frac{1}{\sqrt{3}}$

Answer 1

ACW$\to$ anticlockwise

(i) $\tan \theta =1$

$\Rightarrow \theta ={45}^o$ ACW

(ii) $\tan \theta =-1$

$\Rightarrow \theta ={135}^o$ ACW

(iii) $\tan \theta =\sqrt{3}$

$\Rightarrow \theta ={60}^o$ ACW

(iv) $\tan \theta =-\sqrt{3}$

$\Rightarrow \theta ={120}^o$ ACW

(v) $\tan \theta =\frac{1}{\sqrt{3}}$

$\Rightarrow \theta ={30}^o$ ACW.