MEDAL!!
Determine two pairs of polar coordinates for the point (5, 5) with 0° ≤ θ < 360°.
my answer:
@IMStuck
@bradely
@iPwnBunnies
same type of problem please see http://www.mathskey.com/question2answer/16599/determine-two-pairs-polar-coordinates-for-the-point-with-360%C2%B0
You're on the right track, but look at your angles again.
oh!! i flipped them
right? @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
so 225 and 45?
@iPwnBunnies
Yeshhhh.
this one? option A
or this ? option B
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)
option A!
see same type of problem any doubts ask
@bradely your link is working with radians not degrees, it is confusing me even more
@iPwnBunnies im right?
this is the most confusing question
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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