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.

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.

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