Question

1/1 points v Previous Answers SPRECALC7 8.2.016. Test the polar equation for symmetry with respect to the polar axis, the pole, and the line 8 2 = 4 sin(e) (Select all that apply.) W symmetric with respect to the polar axis symmetric with respect to the pole symmetric with respect to the line = not symmetric with respect to any of these Need Help? Read It Talk to a Tutor Submit Assignment Save Assignment Progress

Answer 1

for symmetry with repect to Replacing (ro) by (-8,- 0) we have. line in o= 22 - equation o + 4 'Sin (-o) But - 8 = – 4 sino y if we replace (no) by (2, 1-0) we have from equation - 8 = 4 sin (11-0) =1&2 = 4 sino ie 2 . equation is symmetrve with respect to line o= II" symmetric with reped to polar axist- . Replacing crio) by (-8, T-O) in equation , we have a (-)2 = 4 sin (IT-O) – 724 lino - ® equation is same as equation so it is symmetric about oot fline) with respect to polar axis.

:) For pole! (Symmetroy wort pole) replacing (8,0) by (-2, 0) in equation o, we get (-8)2 = 4 sino arhatsino - ie equation is symmetric with repect to pole.

Replace By secas Test fos syometry D. about polar axis (ro) (1-0) or (nr. 1-0) (ro) (-2,-0) or (8, IT-O) 2). about o=112 line 3). about pole (ro) or (-1,0 +7 (ro)