# PLOT THE GIVEN POLAR COORDINATES POINT IN THE POLAR GRID

Plot the Given Polar Coordinates Point in the Polar Grid :

The given polar coordinate will always be in the form (r, θ).

r is the distance from the origin to the point and θ is the angle of rotation from positive x axis

As in trigonometry, we measure θ as positive when moving anticlockwise and negative when moving clockwise.

If r > 0, then P is on the terminal side of θ. If r < 0 then P is on the terminal side of π + θ.

Let us see some examples to understand the concept.

Example  :

Plot the following points in polar grid.

(A)  (3, π/4)    (B)  (-4, π/6)    (C)  (2, -π/2)

(D)  (2, 7π/4)     (E)  (-5, -5π/6) Solution :

(A)  (3, π/4)

Here r  =  3 and θ  =  π/4 both r and θ are positive, we can take anti clock wise rotation (B)  (-4, π/6)

Here r  =  -4 < 0 then P is on the terminal side of π + θ. (C)  (2, -π/2)

Here r  =  2 and θ is negative, so we can perform clock wise direction. (D)  (2, 7π/4)

Here r  =  2 and θ is positive and its measure is 7π/4  =  315. (E)  (-5, -5π/6)

Here r  =  -5 < 0 then P is on the terminal side of π + θ and θ is negative, so we move clock wise direction and move 150 degree.  Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

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