Download Infinite Precalculus - Converting Rectangular and Polar Form CW

Precalculus
Name___________________________________
©V [2q0`1D6O nKsuztdaa bSuoNfJtzwVaWrIeb KL\LRCW.T p dAIlklA SrsiJgohvtlsu cr_ehsdewrxvqeLdo.
Converting Rectangular and Polar Form CW
Date________________ Period____
Convert each equation from rectangular to polar form.
1) y = -
x 3
3
2
2) y =
2
3) ( x - 2) + ( y - 1) = 5
5) x =
y2
5
x
2
2
2
4) x + ( y - 3) = 9
6) y =
x2
5
Worksheet by Kuta Software LLC
-1-
©x Y2i0C1n6n vKJuot`ar aSjoZf]tKw^aerReY HLzLDCZ.U c gAElMl_ FrEiYgphItmsi TroebswelrzvFecdP.] g \MWaqdVeg ewfiWtmhF OIXn_fpiWnWiwt]eX GPRrRencEaclUcwublyufsc.
Convert each equation from polar to rectangular form.
7) q =
5p
6
9) r = 2cos q
2
11) r = 3csc (2q )
8) r = -2cos q + 6sin q
10) r = 5cot q csc q
2
12) r = 4sec (2q )
Worksheet by Kuta Software LLC
-2-
©P x2K0j1B6H sKluAtEaX iSNo_fwtcwCaZrPeG PLALQCC.x z uAxlrlh drWixgOhLtGsz rrreVsyeFrdvgecd]._ H `MFaPdFer YwMihtTh] sIFnRfIiSnsiytjeA sPUrBefcIawljc`uFl\uks_.
Precalculus
Name___________________________________
©M [2Z0\1J6i uKEuztsax kSooXfotbwqaErYeK bLALvCH._ T yArlulK mruiEgihVt[sX EriessIeBrOvxeKde.
Converting Rectangular and Polar Form CW
Date________________ Period____
Convert each equation from rectangular to polar form.
1) y = -
q=
x 3
3
2) y =
cot q = 2
5p
6
2
2
3) ( x - 2) + ( y - 1) = 5
2
y2
5
2
4) x + ( y - 3) = 9
r = 4cos q + 2sin q
5) x =
x
2
r = 6sin q
6) y =
r = 5cot q csc q
x2
5
r = 5tan q sec q
Worksheet by Kuta Software LLC
-1-
©p i2l0r1g6U \KcuItnau gSuovfdtMwhaIrGed ZLuLUC[.a d yADlglR Wrii]gQhDtIss orBeCsoe_rnvteGdq.A A wMUaKdJe[ HwtiRtshh CITnFfuiBnhi^tNei _PrrweUcxaglpcfuPl^ujsa.
Convert each equation from polar to rectangular form.
7) q =
8) r = -2cos q + 6sin q
5p
6
y=-
( x + 1) 2 + ( y - 3) 2 = 10
x 3
3
9) r = 2cos q
10) r = 5cot q csc q
y2
x=
5
( x - 1) 2 + y 2 = 1
2
11) r = 3csc (2q )
y=
2
12) r = 4sec (2q )
x2 - y2 = 4
3
2x
Worksheet by Kuta Software LLC
-2-
©t [2T0x1o6z MKpu\tYan KSPogfLtNwiaKrfem FLcLxCj.] ` IA]lUlZ ZrDiigVhGtasR Zrfezspemr[vHeGdW.k C oMlaldTec IwFirtmhl DIAnJfpiunFiLt_ev wPwroeVcUallEcEuplouEsZ.