Sunday, November 7, 2010

EEEEEEEEEEEEHHHHHHHHHHH...

This week we learned about polar.

here are your formulas:

polar:
(r, theta)
r =+/-squareroot of x^ 2 + y^2
tan theta=inverse of y/x

rectangular:
(x,y)
x=rcostheta
y=rsintheta

give the polar point for (3,4)
since the second number is not a degree, you know its in rectangular
so to convert to polar, you look at your formulas
r = squareroot of 3^2 +4^2=square root of 25 = +/-5
so r=+/-5
theta=tan inverse of 4/3 =53.130degrees
so your point in polar would be (5, 53.130) and (-5, 233.130) because there are two quadrants where tan is positive

To plot, you just take your coordinate plane, go the regular for the x and for the degree, you just imagine your unit circle and go the approximate amount of degrees around. and for the other point, you just mirror it.

and here's a little from section 11-2
z=x=yi - rectangular
z=rcostheta = rsinthetai- polar

example :
exress -1-2i in polar form
you plug into the formulas from 11-1 to get your x and y and then you just use the recangular formual above, its really simple if you knwo your formuals.

kbye

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