9.
The angle is larger than 60o. You must add 180 to the 60 because the 60 is in the third quadrant. I do understand why you did that however. It's one more wrinkle in the question.
theta = 240
x = 6 * cos(240) Remember that the cos always describes x if the angle is made with the x axis.
x = - 3
y = 6 sin(240)
y = -5.19
In the third quad, x and y must both be minus.
10
So far vectors are always broken down in terms of the x axis. In other words theta must start on the x axis (and usually) theta moves counter clockwise. If it moves clockwise, it is - theta as in other questions you've had.
In this case theta = 90 - 37 = 53. that makes it in reference to the x axis
Ax = 12 * cos(53) You will Never Never get a component larger than the vector producing it. Never going to happen.
Ax = 7.22
Ay = 12*Sin(53)
Ay = 9.58
