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The standard form of an equation with p = 3/2 and phi=300 degrees is; x(√3) + y - 3 = 0
What is the Standard form of the equation?
The standard form of this type pf equation has the general format as;
x(cos Ф) + y(sin Ф) = p
where;
p is perpendicular distance from origin
Ф is the angle between perpendicular and the positive x-axis.
Now, we are given;
p = 3/2
Ф = 30°
Thus, the equation of these given values will be expressed as;
x(cos 30) + y(sin 30) = 3/2
We know, that;
cos 30 = (√3)/2
sin 30 = 1/2
Thus, we have;
x((√3)/2) + y(1/2) = 3/2
Multiply through by 2 to get;
x(√3) + y = 3
⇒ x(√3) + y - 3 = 0
Read more about Standard form of Equation at; https://brainly.com/question/11600179
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