Polar coordinates of points S are given and O is the origin

Polar coordinates of points S are given and O is the origin. Give the component form of the vector rightarrow OS. Give the exact values for b (Do not use a calculator for b). S(6,75 degree)______S(1, 225 degree)______

Solution

4 a) S (6 , 75 deg)

Component form : ix +jy = 6(cos75*i +jsin75) = 1.55i + 5.79j

b) S ( 1, 225)

Component : ix +jy = 1(cos225i + sin225j) = i*cos(180+45) +jsin(180+45)

=-i1/sqrt2 -j1/sqrt2