Can you explain me how to calculate the other two pairs of polar coordinates of

Question

Can you explain me how to calculate the other two pairs of polar coordinates of this point ?? I have no clue how they got those pairs.

chegg.com Calculus 8th Edition Textbook Solutions | Chegg.com Facebook - Inicia sesión o regístrate Chegg BOOKS STUDY TUTORS TEST PREP INTERNSHIPS COLLEGES Search Chapter 10.3. Problem 1E Show all steps OFF Chapter 10.3 The polar coordinates is1, 4 The objective is to plot the polar coordinates point and then find the other two pairs of polar coordinates of the points. So, the polar coordinate is plotted below 66E 67E 68E 69E 70E 71E 73E 74E 0 75E 76E 78E 1E ) 1LP The other two pairs of the polar coordinates are 1, 4 2E

Explanation / Answer

Ya sure we will help you getting he other two pair of polar cordinates.

You have graphed it right.

The given polar coordinates is (1,pi/4)

While finding next pair of polar coordinates we will first rotate it 180 degree

The coordinate becomes (-1,(pi/4)+pi)

-1 is there as it will be third quadrant

so coordinate will be (-1,5pi/4)

Now finding another coordinate

rotating the original given coordinate by 360 degree or 2 pi

coordinate will become (1,(pi/4) +2pi)

1 will be there as second quadrant again

so coordinate become (1,9pi/4)

thank you

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