11-1

This week in class we learned about polar coordinates and rectangular.

When using polar graphs using angles you use(radius,theta) instead of rectangular which is (x,y). To convert from polar to rectangularx=rcostheta y=rsintheta which is on the unit circle
To convert from rectangular to polar r=square root of x^2+y^2 theta=tan^-1(y/x) which is also on the unit circle!

Example 1.)
Give the rectangular coordinates for (3, 60 degrees)
y=3sin60 x=3cos60
y=3(square root of 3 over 3) x=3(1/2)
y=square root of 3 x=3/2
so the answer is (3/2, square root of 3)

Example 2.)
Give the polar coordinates for (4,4)
r= square root of 4^2+4^2 theta=tan inverse of (4/4)
r=+or-square root of 32 theta=45 degrees, 225 degrees
so the answer is (+square root of 32, 45 degrees) and (-square root of 32, 225 degrees)