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What is the standard form of an equation with p = 3/2 and phi=300 degrees?
A. x-sqrt3y-3=0
B. sqrt3x-y-3=0
C. x+sqrt3y-3-0
D. sqrt3x + y + 3=0


Sagot :

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

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