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Mathematics 21 Online
OpenStudy (anonymous):

MEDAL!!

OpenStudy (anonymous):

Determine two pairs of polar coordinates for the point (5, 5) with 0° ≤ θ < 360°.

OpenStudy (anonymous):

my answer:

OpenStudy (anonymous):

@IMStuck

OpenStudy (anonymous):

@bradely

OpenStudy (anonymous):

@iPwnBunnies

OpenStudy (ipwnbunnies):

You're on the right track, but look at your angles again.

OpenStudy (anonymous):

oh!! i flipped them

OpenStudy (anonymous):

right? @iPwnBunnies

OpenStudy (ipwnbunnies):

Nopeee. You have the wrong coterminal angles. The given point is (5,5) . Wouldn't that be in the first quadrant? One of your polar coordinates should have an angle in the first quadrant. The second coordinate should be π radians from that angle, with the negative magnitude. :3

OpenStudy (anonymous):

so 225 and 45?

OpenStudy (anonymous):

@iPwnBunnies

OpenStudy (ipwnbunnies):

Yeshhhh.

OpenStudy (anonymous):

this one? option A

OpenStudy (anonymous):

or this ? option B

OpenStudy (ipwnbunnies):

Which do you think? The given point is (5,5), which is in Quadrant 1. That means the true angle of the polar coordinate is in Quadrant 1. The magnitude should also be positive when making a polar coordinate at the true angle. When you're at angle 225, you have to trace the magnitude "backwards" to trace the same coordinate as (5*sqrt(2) , 45 degs)

OpenStudy (anonymous):

option A!

OpenStudy (bradely):

see same type of problem any doubts ask

OpenStudy (anonymous):

@bradely your link is working with radians not degrees, it is confusing me even more

OpenStudy (anonymous):

@iPwnBunnies im right?

OpenStudy (anonymous):

this is the most confusing question

OpenStudy (bradely):

The rectangular coordinate point : (x, y) = (5, 5). tan θ = y/x =5/5= 1 In first quadrant, the angle θ = 45 In third quadrant, the angle θ = 225. r2 = (x2 + y2) = (5)2 + (5)2 = 25+ 25 = 50 r = ± √(50) = ± 5√2. Because θ was chosen to be in the same quadrant as (x, y), we should be use a positive value of r. The polar coordinates points is (5√2, 45). Because θ was not chosen to be in the same quadrant (third) as (x, y), we should be use a negative value of r. The polar coordinates points is (-5√2, 225). The polar coordinates points are (5√2, 45) and (-5√2, 225). Source: http://www.mathskey.com/question2answer

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