Today's Slides: February 15

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Working with the Unit Circle Exercises - Answers

1. (i) 7π/3
(ii) 1
(iii) I
(iv) (1/2, √(3)/2)

2. (a) (i) 8π/3 (ii) 1 (iii) II (iv) (-1/2, √(3)/2)
(b) (i) 11π/3 (ii) 1 (iii) IV (iv) (1/2, -√(3)/2)
(c) (i) -17π/3 (ii) 2 (iii) I (iv) (-1/2, √(3)/2)

3. (i) 510°
(ii) 1
(iii) II
(iv) (-√(3)/2, 1/2)

4. (a) (i) 1350° (ii) 3 (iii) on negative y-axis (iv) (0, -1)
(b) (i) -2250° (ii) 6 (iii) IV (iv) (√(2)/2, -√(3)/2)
(c) (i) 1590° (ii) 4 (iii) II (iv) (-√(3)/2, 1/2)

5. (a) 1 (b) 1 (c) 1 (d) 1

6. ???

7. (a) yes, because (3/5)² + (4/5)² = 1 (b) no (c) yes(d) yes