What are the components of the vector between the origin and the polar coordinate #(8, (4pi)/3)#?
1 Answer
Jun 19, 2016
Explanation:
Using the formulae that link Polar to Cartesian coordinates.
#•x=rcostheta" and " y=rsintheta# here r = 8 and
#theta=(4pi)/3#
#rArrx=8cos((4pi)/3)" and " y=8sin((4pi)/3)# now :
#cos((4pi)/3)=-cos(pi/3)=-1/2# and
# sin((4pi)/3)=-sin(pi/3)=-sqrt3/2#
#rArrx=8xx-1/2=-4# and
#y=8xx-sqrt3/2=-4sqrt3# components of vector
#=((-4),(-4sqrt3))#
