HOW TO FIND ANGLE OF INCLINATION WITH SLOPE
About "How to find angle of inclination with slope"
How to find angle of inclination with slope :
Actually we follow four methods to find the slope of the line
(i) Slope using angle of inclination (m = tan θ)
(ii) Slope with two points lies on the line
m = (y2 - y1)/(x2-x1)
(iii) Slope by comparing the equation with y = mx + b
(iv) Slope using the formula
m = -coefficient of y/coefficient of x
Here we are going to see how to find the angle of inclination when slope is given.
Example 1 :
Find the angle of inclination of the straight line whose slope is 1/√3
Solution :
If i is the angle of inclination of the line, then the slope of the line is
m = tan θ where 0 ≤ θ ≤ 180, 90 ≠ 0
tan θ = 1/√3
For which angle of tan we have the value 1/√3
θ = 30°
Hence the angle of inclination is 30°.
Example 2 :
Find the angle of inclination of the straight line whose slope is 1
Solution :
If i is the angle of inclination of the line, then the slope of the line is
m = tan θ where 0 ≤ θ ≤ 180, 90 ≠ 0
tan θ = 1
For which angle of tan we have the value 1
θ = 45°
Hence the angle of inclination is 45°.
Example 3 :
Find the angle of inclination of the straight line whose slope is √3
Solution :
If i is the angle of inclination of the line, then the slope of the line is
m = tan θ where 0 ≤ θ ≤ 180, 90 ≠ 0
tan θ = √3
For which angle of tan we have the value √3
θ = 60°
Hence the angle of inclination is 60°.
Example 4 :
Find the angle of inclination of the straight line whose slope is 0
Solution :
If i is the angle of inclination of the line, then the slope of the line is
m = tan θ where 0 ≤ θ ≤ 180, 90 ≠ 0
tan θ = 0
For which angle of tan we have the value 0
θ = 0°
Hence the angle of inclination is 0°.
After having gone through the stuff given on "How to find angle of inclination with slope", we hope that the students would have understood how to solve problems using unit rates.
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