If the y- coordinate of a vector is sine does that always mean that the x-coordinate is cosine?

Answer 1

Yes. You can think of sine as being the y-value of a coordinate point and cosine as being the x-value of a coordinate point.

Answer 2

If the y-coordinate of a vector is the sine of the angle, then the vector is a unit vector.

Therefore, by Pythagoras, the x-coordinate is the cosine of the angle.

Answer 3

If the y-component (not coordinate) of a vector equal to the sine of the direction angle, then the vector is the unit vector and and x-component of the vector is equal to the cosine of the vector.

Answer 4

X = r * cos T

Y = r * sin T