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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.