Question

LARCALCET7 10.5.032

Find the points of intersection of the graphs of the equations.

43. [-70.5 Points] DETAILS LARCALCET7 10.5.032. Find the points of intersection of the graphs of the equations. r= 7 + sin e r= 2 csc e OsO <T (r, 0) = (smaller 8-value) (r, 0) = (larger 6-value) Need Help? Read It Talk to a Tutor Submit Answer

Answer 1

Y = 7+ sin o -0) OSO EN r = T- 2C5CO 2 Sino -lo) Putting value r. from (ii) in (1) " 2 Sino 7+ Sino Sino Sin²0 +7 sino-2=0 -7 + J12_4()(-2) 211) lising Sridharacharya's rule Sino 2 - 7: N57 sin f-1447) - Sim -7457 and O2 - Sin and 102= sint 0, 0.279 Sin Ot- -7+57 - 7+15 or sino = 7-157 2 2 sino =-7.275 01 Sino = 0.2749 1 *: Sino except 1. .. This value is rejected sino lies between [1,1] In the internal DE(0,1), sun o achieves any value twice, Sin (11-0) Two values of o are, Q = sînt (0.2749) = 0.2785 radians. angel Q=7-lo t sit 80228497 and Oz = TT-0 2.863 radians value corresponding to D,& Y = 7+ Sino, = 7+Sin 02 7.275 —Using (1) (r,o) - ( 7.275, (7,0) = 7.275, 2.863?) of r Answer : 0.2785