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
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°.
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