1. Find the angle of inclination of the straight line whose slope is
(i) 1 (ii) 3 (iii) 0
Answers
Answered by
3
Let θ be the angle of inclination of the line.
Then, slope of the line, m = tan θ
(i) m = 1
tanθ = 1 = tan45°
θ = 45°
Hence angle of inclination= 45°
(ii) m = 3
tanθ = 3
θ = arctan(3)
So, angle of inclination = arctan(3)
(iii) m = 0
tanθ = 0 = tan0°
θ = 0°
Hence, angle of inclination = 0°
Then, slope of the line, m = tan θ
(i) m = 1
tanθ = 1 = tan45°
θ = 45°
Hence angle of inclination= 45°
(ii) m = 3
tanθ = 3
θ = arctan(3)
So, angle of inclination = arctan(3)
(iii) m = 0
tanθ = 0 = tan0°
θ = 0°
Hence, angle of inclination = 0°
Answered by
3
HELLO DEAR,
let the be the angle of line,
( 1 ) . 1
m = 1
tan = 1
tan = tan45
= 45
( 2 ) . 3
m = 3
tan = 3
=
( 3 ) . 0
m = 0
tan = 0
tan = tan0
= 0
I HOPE ITS HELP YOU DEAR,
THANKS
let the be the angle of line,
( 1 ) . 1
m = 1
tan = 1
tan = tan45
= 45
( 2 ) . 3
m = 3
tan = 3
=
( 3 ) . 0
m = 0
tan = 0
tan = tan0
= 0
I HOPE ITS HELP YOU DEAR,
THANKS
Similar questions