Need help finding component form?

Question

Find the component form of the unit vector that makes an angle

theta= 3pi/4 with the positive x-axis

Thanks

Answer 1

cos(3π/4)i + sin(3π/4)j

= -1/√2 i + 1/√2 j

Answer 2

The x-component is cos(3pi/4) and the y-component is sin(3pi/4), hence the unit vector u is = - 0.7071*x + 0.7071*y, where x and y are unit vectors along the x-axis and y-axis respectively.