The rectangular co ordinates of the given point is ( 4√3,4)
Step-by-step explanation:
Step 1 :
Given point in the polar form = (8,150°)
We need to convert the polar form of the point into rectangular co ordinates.
Step 2 :
The polar form of the point specifies its distance from the origin and also the angle it makes to the x axis.
So from the given point (8,150°), we can understand that it is at a distance of 8 units from the origin and makes an angle of 150° to the x axis
To convert polar point (r,θ) to Cartesian or rectangular co ordinates (x,y) the formula is
x = r cosθ
y = r sin θ
So for (8,150°),
x = 8 cos (150) and y = 8 sin (150)
x = 8 ×[tex]\frac{\sqrt{3}}{2}[/tex] = 4√3
y = 8 ([tex]\frac{1}{2}[/tex]) = 4
So the rectangular co ordinates of the given point is ( 4√3,4)
Step 3 :
Answer :
The rectangular co ordinates of the given point is ( 4√3,4)
