Sunday, January 2, 2011

Tori Holiday Blog #4

DONEE!!!!!!!

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 were...
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` 5theta
= 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 ]....

survey says:: `the square root of` 5, 116. 565.... `the square root of` -5, 296.565

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