Rotating a point about the origin
Answers are for parents and teachers.
1
Which point results from rotating P(1, 0) through 9π/2?
(0, 1)
2
Which point results from rotating P(1, 0) through −5π/2?
(0, −1)
3
Which point results from rotating P(1, 0) through 6π? How many full turns is that?
(1, 0); 3 full turns
4
Write all angles leading to the point (−1, 0).
π + 2πk
5
The rotation through 25π/4 gives the same point as which angle between 0 and 2π? Explain.
π/4, because 25π/4 = π/4 + 6π = π/4 + 3 · 2π