9.1 - W Ema Polan— coercivth System; We. geUe-F 6L...

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Unformatted text preview: W Ema Polan— coercivth System; We. geUe-F 6L POEn‘l‘ Called “H'ng “(Pol-.5 I, and ,le a raw a Vertex 04L PH”— POL‘L Called X n : ‘+K9_ POL—HR ports ’ Potar axis Oin‘} 'From m LL 0| r/ Polar axis '/ P=(r,6),r<0 (Pleat -Hna_ Poin‘l' (Lt ; 2‘31: (q ,ifiL 2.173, 2 e a | Hr :‘T/B) I \/ .,___ : “$525) Summary A point with pokar coordinates (r, 6) also can be represented by either of the following: (r,0 + 2k77) or (—r,9 + 7.- + 2kg), kany integer The polar coordinates of the pole are (0, B), where 6 can be any angle. 2. Convert from Polar Coordinates to Rectangular Coordinates Conversion from Polar Coordinates to Rectangular Coordinates If P is a point with polar coordinates (r. 8). the rectangular coordinates (x. y) of P are given by 3. Convert from Rectangular Coordinates to Polar Coordinates mn=mm MBF=M0) (c) (X. y) = ( —a, O), a> 0 (d) (x, y) = (o, —a), a > o Coo-5 di‘n c2 LE 5 “‘41) \OUY C/G’DTCLL'QQES (Ojfltw CiCM‘W‘Je"; :gaym y C4Q’YNJOLk-[OJN’ M Steps for Converting from Rectangular to Polar Coordinates STEP 1: Always plot the point (x, y) first, as we did in Examples 5 and 6. Note the quadrant the point lies in or the coordinate axis the point lies on. STEP 2: If x = O or y = 0, use your illustration to find r. See Figure 17. If xiOandyiOJhenrz Vx2+y2. STEP 3: Find 9. If x = 0 or y = 0, use your illustration to find 9. See Figure ‘17. If x i O and y at 0. note the quadrant in which the point lies. a: x Quadrant 101‘ IV: 9 = tan Quadrant II or III: 6 = 7 + tan—1% ...
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9.1 - W Ema Polan— coercivth System; We. geUe-F 6L...

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