When rotating axes through an angle θ, the proper formula is:
(x’, y’) = (x cos θ + y sin θ, -x sin θ + y cos θ)
Where:
The initial coordinates are (x, y).
After rotation by angle θ, the transformed coordinates are (x’, y’).
This formula is incorrect.
Consequently, option b is the right response.
When rotating axes through an angle θ, the proper formula is:
(x’, y’) = (x cos θ + y sin θ, -x sin θ + y cos θ)
Where:
The initial coordinates are (x, y).
After rotation by angle θ, the transformed coordinates are (x’, y’).
This formula is incorrect.
Consequently, option b is the right response.