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

(i) $tan\theta =1\Rightarrow \theta {45}^{\circ }$ ACW from $ta{n}^x-axis$.

(ii) $-1=tan\theta \Rightarrow \theta ={135}^{\circ }$ ACW.

(iii) $tan\theta =\sqrt{3}\Rightarrow \theta ={60}^{\circ }$ ACW.

(iv) $tan\theta =-\sqrt{3}\Rightarrow \theta ={120}^{\circ }$ ACW.

(v) $tan\theta =\frac{1}{\sqrt{3}}\Rightarrow \theta ={30}^{\circ }$ ACW.