Mathematics
Find the inclination of the line whose gradient is
(i) 1
(ii)
(iii)
Straight Line Eq
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Answer
(i) Let inclination be θ.
We know that,
m = slope or gradient = tan θ
⇒ 1 = tan θ
⇒ 1 = tan 45°
∴ tan θ = tan 45°
∴ θ = 45°.
Hence, the inclination is 45°.
(ii) Let inclination be θ.
We know that,
m = slope or gradient = tan θ
⇒ = tan θ
⇒ = tan 60°
∴ tan θ = tan 60°
∴ θ = 60°
Hence, the inclination is 60°.
(iii) Let inclination be θ.
We know that,
m = slope or gradient = tan θ
⇒ = tan θ
⇒ = tan 30°
∴ tan θ = tan 30°
∴ θ = 30°.
Hence, the inclination is 30°.
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