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. 

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. SAT Math Questions and Answers

    Oct 13, 25 01:09 PM

    SAT Math Questions and Answers

    Read More

  2. 10 Hard SAT Math Questions (Part - 27)

    Oct 13, 25 11:55 AM

    digitalsatmath395.png
    10 Hard SAT Math Questions (Part - 27)

    Read More

  3. 10 Hard SAT Math Questions (Part - 26)

    Oct 10, 25 08:14 PM

    10 Hard SAT Math Questions (Part - 26)

    Read More