Question

Convert (8,150°) to rectangular coordinates​

Answer 1

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 ×$\frac{\sqrt{3}}{2}$   =  4√3

y = 8 ($\frac{1}{2}$) = 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)