Part 1) Find the coordinates of point P
we know that
r=1 unit
x=r*cos 50°-----> x=1*cos 50°=0.64
y=r*sin 50°-----> y=1*sin 50°=0.77
the point P belong to the first quadrant
so x and are positive
the coordinates are (0.64,0.77)
the answer Part 1) is P (0.64,0.77)
Part 2) Find the coordinates of point Q
we know that
r=1 unit
angle=180-110=70°
x=r*cos 70°-----> x=1*cos 70°=0.34
y=r*sin 70°-----> y=1*sin 70°=0.94
the point P belong to the second quadrant
so
x is negative------> -0.34
y is postive----> 0.94
the coordinates are (-0.34,0.94)
the answer Part 2) is Q (-0.34,0.94)