Question

ri = 2 sin 0 and r2 = 2 sin 20

Answer 1

By equating the given curves, we have found out the values of $\theta$ and then the corresponding values of r are to be found out in the interval [0,2 $\pi$ ).  

The step by step explanatory solution is provided below.

let r= 2sing and - 2 sina o curves.. e two Find the points of intersections y section Your anewer in polar 70 and ococ 2TT. coordinates where solution By Equating both the curves, we get tax di = 2 cin o = 2 sin20 - 2casino coco) . 7 2 sino = 4 coso sino 2 sino (1-2 Colo) =0 trig sind=0g i-2 coro=0 & coro - £ hod 50=0,11 40-I, 27-} -= , SI | At 0=0 , s4=2sin(o)=0 u The point is (4,0) = (0,0). At O = 1, 1 = 2 sin (TI)= 0 & The point is (4,0)=(0,T). A+ 0= , HE 2 sin ( 1) - 2/ £) - 13: Thus, the point is (4,0)= CB, I n A+ 0 = 511, 43 ecin (STI)- 21-- - 13 is. The point is crioja (-535I) be ASH-SË -4 = 1370 , 0 = ST. - obiaro wolo ago 0= 27 Thus, the point is ( 3 21) 04 e The points pure (60), CO, IT), (55, II), (55, 27) phele, M = 5370 - 4 = -3, then the o= T + 11 = 25

in By converting erro into reo, The points are: Co, D), COITT), C-J3, 57) and (-3, 4T)