Can engines with a fixed nozzle in the angle of attack have the same effect as the thrust vectoring?

If the figure above represents a missile at the angle of attack and we vector resolution the thrust output from the nozzle, we can see that the thrust is divided into sine and cosine parts. Does the cosine and sine section of thrust cause torque in the rocket about cg? does the cosine part produce nose down pitching moment ?

Edit: In the figure above, sine and cosine are named oppositely

• "does the cosine part produce nose down pitching moment ?" -- why wouldn't that be exactly cancelled out by an opposite pitching moment from the "sine part"? Jun 30 at 9:35
• I think the answer to your question is no, the vector sum of the two components is along the axis T of the rocket.
– Frog
Jun 30 at 10:59
• This NASA page should be helpful Jun 30 at 12:10
• @quiet flyer because the distance between sine part to cg is larger than cosine part . Jun 30 at 15:56
• @sophit in nasa page sine component of drag produce restoring moment about cg Jun 30 at 16:00