Question

Find the inclination of a line whose slope is:
(i) 1
(ii) -1
(iii) √3
(iv) -√3
(v) 1/√3

Answer 1

use
$\tan( \alpha ) \: = slope$

Answer 2

Answer:

Step-by-step explanation:

Find the inclination of a line whose slope is:  

(i) 1  

(ii) -1

(iii) √3  

(iv) -√3  

(v) 1/√3

Slope of a line = Tan ( inclination angle)

=>  Tan ( inclination angle) = 1

we Know that tan 45° = 1

=> inclination = 45° if slope = 1

Tan ( inclination angle) = -1

we Know that tan -45° or 135° = 1

=> inclination = -45° or 135° if slope = -1

Tan ( inclination angle) = √3

we Know that tan 60° = √3

=> inclination = 60° if slope = √3

Tan ( inclination angle) = -√3

we Know that tan -60° or 120° = -√3

=> inclination = -60°or 120° if slope = -√3

Tan ( inclination angle) = 1/√3

we Know that tan 30° = 1/√3

=> inclination = 30° if slope = 1/√3