This past week in advance math, we finished learning chapter 11,consisting of formulas and trig chart memory.Two formulas we learned were x=rcostheta y=rsintheta(rectangular) r=sq/root x^2+y^2.tan theta=y/x(polar)
Ex:1: Give the polar coordinates for (2,4)
1. convert to polar using light green formula
2.r=square root of -1^2+12^2
3,r=+/-12
4.Plug x and y into the tan function Tantheta=4/-2
5/Tan i s negative, so now we are finding angles in quad 2 and 4..181 deg/ and 261 deg.
5.answer is ( 12,181 deg.) and (,-12-261)
Ex:2 convert (4,pi/2) to rect.
1.use formula in orange
2.x=4cos pi/2 and y=3 sin pi/2
3.use trig chart..pi/2 is (sin)sq.root of 2 over 2(cos)0
4.x=8sq.root of 2 y=0
5.(8sq.rtof 2,0)
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