Question

show all work please

PRINTED NAME - Last, First: Section # Instructor: Precalculus Math 2312 GHW6 - Due Fri, 05/01/2020 Show all your work for full credit. 1. Convert the point (-1,1) from rectangular coordinates to polar coordinates satisfying the following restrictions of rand : ar > 0,0 SO <2 bir <0,0 so<2 2. Sketch the graph of r = 2 - 4 cos 8. Plot at least 9 points. Note that V2 - 1.4, and V31.7.

Answer 1

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Ans 1.

(a) Polar coordinate = ( 2^1/2 , 7π/4)

(b) Polar coordinate = [-(2^1/2) , 7π/4]

Detailed answer is given in the pictures below-

ANI. Point = (-1,1) I Coordinate, we To need Convert this rectangular coordinate into polar to convert it into the born- P= ((ro). Where, d= + Jochty - & o= tanty - Now In the given a=-1 question, & y=1 sou r= +8x2ty2 = +54 11+(52 = + 5+1 = 2 2 Since, we de in de given the constreint tre that are so O= tant = tan' I - tan" (-1) = -45° Now, Since we can represent 4th quadeant. -45° as 360-45° because it lies in 9 . 180 - 3600 220 ., o = 360 -45 a sa 2T- T - 77 4 1: Polar Coordinate (52, 274)

(6) Here, -52. deco & OLOLLA e from previous part we obtained two values of a, ie, the and Therefore Here, de=-de (crco) Also, o = 27 (as previous port) in Polar Coordinate - (-52, 77/4)