Question

find the slope of line whose inclination is 4pi÷3​

Answer 1

Given:

(i) The inclination is 4П/3

To find:

(i) The slope.

Solution:

Given, the inclination is 4П/3.

We know that for an inclination of 'm', its slope is given as:

Slope = tan (m).

Here m = 4П/3.

So,

Slope = tan (4П/3)

= tan 240°

= cot (270-240)°

= cot 30°

= √3

Thus, the slope of the line whos inclinination is 4П/3 is equal to √3.