Question

After applying R_9.900° R to RS, the new coordinates are:

a) R′(θ+9.900,r) and S′(θ+9.900,r)
b) R'(θ−9.900,r) and S′(θ−9.900,r)
c) R′(θ,r+9.900) and S'(θ,r+9.900)
d) R′(θ,r−9.900) and S′(θ,r−9.900)

Answer 1

The new coordinates after a rotation of 9.900° are R'(θ + 9.900, r) and S'(θ + 9.900, r), which means the radius stays the same and the angle increases by the rotation angle.

Step-by-step explanation:

The question asks about the results of applying a rotation transformation to the points R and S in a polar coordinate system. When a point in polar coordinates (r, θ) is rotated by an angle, its radius r remains the same while its angle θ is increased by the angle of rotation. In this case, the points are rotated by 9.900°, which should be added to the initial angle θ. Therefore, the correct new coordinates after the rotation transformation are R'(θ + 9.900, r) and S'(θ + 9.900, r), which corresponds to option (a).