Wednesday, November 24, 2010

charlie's 2nd thanksgiving bloggy thinggy.

Okay, so a while back we learned how to turn polar form into rectangular form.
i forgot what chapter and section it's in though.
so.. the definition of polar is to graph using angles
polar form is (r, theta) and rectangular form is (x, y)
the formulas we used for this was...
r = `the square root of` x^2 + y^2
and
tantheta = (y/x)
[ this easily changes to theta = tangent inverse of (y/x) ]
so to do this you basically just plug in the (x, y) rectangular form numbers into the two formulas to get the (r, theta) polar form.
EXAMPLE:
#1. turn rectangular form (-1, 2) into polar form
[ first, you plug the -1 and the 2 into the formulas ]
r = `the square root of` -1^2 + 2^2
= `the square root of` 1 + 4
= +/- `the square root of` 5
theta = tangent inverse of (2/-1)
= 63.565
[ tangent is negative on the unit circle in quadrant 2 &4, so now you make 63 negative and add 180 & make 63 negative and add 360 to get to those quadrants ]
.... `the square root of` 5, 116. 565
.... `the square root of` -5, 296.565

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