okay, this week we did chapter 11 and then friday we started on chapter 13, skipping chapter 12.
in chapter 11 we learned the rectangular and polar points.
rectangular=(x,y) & polar=(r, theta)
so what you do is they give you a rectangular point and you change it to polar.
or you are give a polar point and you change it to one or (most likely) two points.
To do this you use the formulas:
r=square root of x^2 + y^2
theta=tan^-1(y/x)
x= rcostheta
y=rsintheta
For example:
(3, 4)
r = square root of 3^2 + 4^2
= square root of 9+16
=square root of 25
=+\-5
r=5
theta= tan^-1(4/3)
=53.13
~now you do a unit circle to see which quadrant it is in~
the tan was positive, so this means that the answers are in
quadrant 1 and 3. so we take 53.13 and add 180.
theta=53.13 & 233.13
so we take the postive theta and put it with the smallest angle.
& we take the negative theta and put it with the larger angle.
Therefore the answer to the problem is...
(5, 53.13) & (-5, 233.13)
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