HOW TO FIND ANGLE OF INCLINATION WITH SLOPE

How to Find Angle of Inclination with Slope :

In this section, you will learn how to find angle of inclination of a line when its slope is given. 

Let θ be the angle of inclination and m be the slope of the line. 

Then, the relationship between the angle of inclination and slope of the line is given by 

m  =  tanθ

How to Find Angle of Inclination with Slope - Examples

Example 1 :

Find the angle of inclination of the straight line whose slope is 1/√3.

Solution :

The relationship between the angle of inclination θ and slope of the line m is given by 

m  =  tanθ

Given : Slope  =  1/√3.

Then, 

1/√3  =  tanθ

θ  =  30°

So, the angle of inclination is 30°.

Example 2 :

Find the angle of inclination of the straight line whose slope is 1.

Solution :

The relationship between the angle of inclination θ and slope of the line m is given by 

m  =  tanθ

Given : Slope  =  1.

Then, 

1  =  tanθ

θ  =  45°

So, the angle of inclination is 45°.

Example 3 :

Find the angle of inclination of the straight line whose slope is √3

Solution :

Let θ be the angle of inclination of the line. 

Then, slope of the line,  

m  = tanθ

Given : Slope  =  √3.

Then, 

√3  =  tanθ

θ  =  60°

So, the angle of inclination is 60°. 

Example 4 :

Find the angle of inclination of the straight line whose slope is 0

Solution :

Let θ be the angle of inclination of the line. 

Then, slope of the line,  

m  = tanθ

Given : Slope  =  0.

Then, 

0  =  tanθ

θ  =  0°

So, the angle of inclination is 0°. 

After having gone through the stuff given above, we hope that the students would have understood how to find angle of inclination with slope.

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