13. 14. 9. Show analytically that is an odd function. 15. 16. or Explain why its graph is symmetric with respect to (wrt) the origin. Determine whether the function has an inverse function. (Use the same test you used in problems In exercises 10 13, the angle lies at the center of – 11 16!) – a circle and subtends an arc of the circle. Find the 17. 18. missing angle measure, circle radius or arc length. 18. 20. 21. 22. For problems 23-28, find the inverse of , f denoted. Verify for #23-25 that . Verify for that. 23. 24. In exercises 14 19, choose an appropriate – 25. viewing window to display two complete periods 26. of each trigonometric function (RADIAN mode!) 27. 14. 15. 16. 28. 17. 18. 19. In exercises 20 23, give the measure of the angle – 29. The domain is all real numbers in problems (RADIAN mode!). Give exact answers when 23, 24 and 28. The domain is restricted in possible. (i.e. if the given measure is on your unit problems 25, 26 and 27 as indicated by the circle, you should give the angle in terms of .) inequality given as part of those problems. 20. 21. Explain why the restriction is necessary. 22. 23. In exercises 24 29, specify the (a) period, (b) – Section 1.6 amplitude and (c) the viewing window that is shown. The graphs are from a TI-84+ with a Angle Radius Arc Length Convert ZSTD screen. Press CLEAR to remove the menu 10. 2 x from from your screen. 11. 175° 10 y radians to 24. 12. 14 7 z degrees or 13. 6 w degrees to radians. 25. 1. 2. –2.5 3. 4. 45° 26. Solve the equation graphically in the given interval. (RADIAN mode!) 5. 27. 6. 7. 28. 8. Show analytically that is an even function. Explain why its graph is symmetric with respect to (wrt) the y-axis. 29.
13. 14. 15. 16. or Determine whether the function has an inverse function. (Use the same test you used in problems 11 – 16!) 17. 18. 18. 20. 21. 22. For problems 23-28, find the inverse of f , denoted. Verify for #23-25 that . Verify for that. 23. 24. 25. 26. 27. 28. 29. The domain is all real numbers in problems 23, 24 and 28. The domain is restricted in problems 25, 26 and 27 as indicated by the inequality given as part of those problems. Explain why the restriction is necessary. Section 1.6 Convert from radians to degrees or degrees to radians. 1. 2. –2.5 3. 4. 45° Solve the equation graphically in the given interval. (RADIAN mode!) 5. 6. 7. 8. Show analytically that is an even function. Explain why its graph is symmetric with respect to (wrt) the y-axis. 9. Show analytically that is an odd function. Explain why its graph is symmetric with respect to (wrt) the origin. In exercises 10 – 13, the angle lies at the center of a circle and subtends an arc of the circle. Find the missing angle measure, circle radius or arc length. Angle Radius Arc Length 10. 2 x 11. 175° y 10 12. z 14 7 13. w 6 In exercises 14 – 19, choose an appropriate viewing window to display two complete periods of each trigonometric function (RADIAN mode!) 14. 15. 16. 17. 18. 19. In exercises 20 – 23, give the measure of the angle (RADIAN mode!). Give exact answers when possible. (i.e. if the given measure is on your unit circle, you should give the angle in terms of .) 20. 21. 22. 23. In exercises 24 – 29, specify the (a) period, (b) amplitude and (c) the viewing window that is shown. The graphs are from a TI-84+ with a ZSTD screen. Press CLEAR to remove the menu from your screen. 24. 25. 26. 27. 28. 29.
summer_work_packet_pt1_2015.docx