Let pt12sqrt32 be the point of the unit circle Find the coor

Let p(t)=(1/2,-sqrt(3)/2) be the point of the unit circle. Find the coordinates P(-t), P(t+pi), P(t-pi)

p(t)=(cos(t),sin(t))=(1/2,-sqrt(3)/2)

=>t =5/3

p(-t)=p(-5/3)

=(cos(-5/3),sin(-5/3))

=(cos(5/3),-sin(5/3))

=(1/2,sqrt(3)/2)

p(t+)=p((5/3)+)

=p(8/3)

=p(2+(2/3))

=p(2/3)

=(cos(2/3),sin(2/3))

=(-1/2,sqrt(3)/2)

p(t-)=p((5/3)-)

=p(2/3)

=(cos(2/3),sin(2/3))

=(-1/2,sqrt(3)/2)