Question 1081120

 {{{r=8cos(3theta)}}} will have maximum values when {{{cos(3theta) = 1}}} and it is for  {{{theta = (2 pi* n)/3}}}  for integer {{{n}}} where {{{n}}} = {{{0}}},{{{1}}},{{{2}}},...

so, if {{{cos(3theta) = 1}}}=>{{{r=8}}}


check:
{{{n=0}}}->{{{theta = (2 pi*0 )/3 =0}}}
.
 {{{r=8 cos( 3*0)}}}
 {{{r=8 cos( 0 )}}}
 {{{r=8 *1}}}
{{{r=8}}}

{{{8=8 cos( 0)}}}-> true


{{{n=1}}}->{{{theta = (2 pi*1 )/3}}} 
.
 {{{r=8 cos( 3(2 pi )/3)}}}

{{{ r=8 cos( 2 pi )}}}

 {{{r=8 *1}}}

{{{r=8}}}

{{{8=8 cos( 2 pi )}}}-> true


{{{n=2}}}->{{{theta = (2 pi *2)/3= (4 pi )/3}}}
.
 {{{r=8 cos( 3(4 pi )/3)}}}

{{{ r=8 cos( 4 pi )}}}

{{{ r=8 *1}}}

{{{r=8}}}

{{{8=8 cos( 2 pi)}}}-> true