Question

Find all points of intersection of the given curves. (Assume o s o < 20 and r20. Order your answers from smallest to largest 0. If an intersection occurs at the pole, enter POLE in the first answer blank.) sin(O), sin(20) r = r = (r, 0) = ( pole (5,0) = ( 1 2 TT 2 4 (r, 0) = Need Help? Watch It Talk to a Tutor Submit Answer

Answer 1

Curvex - the Solution Giren r=sinco) r=sin(20) o <O<2n and roo we have to find out the points of intersection of given cuore To determine the points of intersection of the given curre, we first set these equal to each other and solve for o, follows sinto) = sin(2o) → sino = 2 sinocoso => 2 sinocoso -sino = > sino2cose-1)=0 Us 2 coso-1=0 o C either sino =0 when sino=0 => 0 8:030<21] and when Qcoso-1)=0 /2 => 0 = TY, STY 1:0 : 050<2n} when sino=on o=nr , Where n= {0, 21, 22, .. but we take only D20 & 0=R , since oso<270) similarly in the Coso 3 } 1 case of coses ya

Now, when kwhen o T / 0 > T = sino = sino or r=sin 20-sino 7=0 06 > 2= o = sin (₂) r = sin (27) - F1 / T = sint o = sinar or 07 when o =T When or Tsin sin(5) or = sin 1033) -sin - the .. si »T=- The points of intersection are (0,0) bole (132,7%) (7,0) (-19, 57)