p = 4, α = 150°
Given:
p = 4, α = 150°
The equation of the line in normal form is given by
Using the formula,
x cos α + y sin α = p
Now, substitute the values, we get
x cos 150° + y sin 150° = 4
cos (180° – θ) = – cos θ , sin (180° – θ) = sin θ
x cos(180° – 30°) + y sin(180° – 30°) = 4
– x cos 30° + y sin 30° = 4
\( \dfrac{-\sqrt{3}x}{2}+\dfrac{y}{2}=4\)
\( -\sqrt{3}x + y = 8\)
The equation of line in normal form is \( -\sqrt{3}x + y = 8\)
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