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.
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)
(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.
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