ex43 - Exercise Set 4.3: Unit Circle Trigonometry Sketch...

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Exercise Set 4.3: Unit Circle Trigonometry Math 1330, Precalculus The University of Houston Chapter 4: Trigonometric Functions Sketch each of the following angles in standard position. (Do not use a protractor; just draw a quick sketch of each angle.) 1. (a) 30 D (b) 135 D (c) 300 D 2. (a) 120 D (b) 60 D (c) 210 D 3. (a) 3 π (b) 7 4 (c) 5 6 4. (a) 4 (b) 4 3 (c) 11 6 5. (a) 90 D (b) (c) 450 D 6. (a) 270 D (b) 180 D (c) 4 7. (a) 240 D (b) 13 6 (c) 510 D 8. (a) 315 D (b) 9 4 (c) 1020 D Find three angles, one negative and two positive, that are coterminal with each angle below. 9. (a) 50 D (b) 200 D 10. (a) 300 D (b) 830 D 11. (a) 2 5 (b) 7 2 12. (a) 8 3 (b) 4 9 Answer the following. 13. List four quadrantal angles in degree measure, where each angle θ satisfies the condition 0 360 ≤< DD . 14. List four quadrantal angles in radian measure, where each angle satisfies the condition 5 22 . 15. List four quadrantal angles in radian measure, where each angle satisfies the condition 51 3 44 <≤ . 16. List four quadrantal angles in degree measure, where each angle satisfies the condition 800 1160 . Sketch each of the following angles in standard position and then specify the reference angle or reference number. 17. (a) 240 D (b) 30 D (c) 60 D 18. (a) 315 D (b) 150 D (c) 120 D 19. (a) 7 6 (b) 5 3 (c) 7 4 20. (a) 3 (b) 5 4 (c) 5 6 21. (a) 840 D (b) 37 6 (c) 660 D 22. (a) 11 3 (b) 780 D (c) 11 4 The exercises below are helpful in creating a comprehensive diagram of the unit circle. Answer the following. 23. Using the following unit circle, draw and then label the terminal side of all multiples of 2 from 0 to 2 radians. Write all labels in simplest form. 24. Using the following unit circle, draw and then label the terminal side of all multiples of 4 from radians. Write all labels in simplest form. x y 1 -1 1 -1 0 x y 1 -1 1 -1 0
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Exercise Set 4.3: Unit Circle Trigonometry Math 1330, Precalculus The University of Houston Chapter 4: Trigonometric Functions x y 1 -1 1 -1 25.
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ex43 - Exercise Set 4.3: Unit Circle Trigonometry Sketch...

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