The problem I am having is a problem in my textbook. It says that if we have xy Cartesian coordinate system, and if we then have a rotated coordinate system x'y', then to get the vector in the x'y' in terms of the xy system, we use the following arguments for the unit vectors:
i' = icos[itex]\Phi[/itex] + jsin[itex]\Phi[/itex]
j' = jcos[itex]\Phi[/itex] - isin[itex]\Phi[/itex]
I don't understand how this was derived, or where it came from. I try to use the right-angle definition for trig ratios, but I keep getting different numbers, and don't see how this relation is true. I would realy appreciate it if somebody could provide a simple explanation.
i' = icos[itex]\Phi[/itex] + jsin[itex]\Phi[/itex]
j' = jcos[itex]\Phi[/itex] - isin[itex]\Phi[/itex]
I don't understand how this was derived, or where it came from. I try to use the right-angle definition for trig ratios, but I keep getting different numbers, and don't see how this relation is true. I would realy appreciate it if somebody could provide a simple explanation.
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