{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

LHS CAT4e ISM-06-final - Chapter 6 THE CIRCULAR FUNCTIONS...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
533 Chapter 6 THE CIRCULAR FUNCTIONS AND THEIR GRAPHS Section 6.1: Radian Measure 1. Since θ is in quadrant I, 0 . 2 π θ < < Since 1.57, 2 π 1 is the only integer value in the interval. Thus, the radian measure of θ is 1 radian. 2. Since θ is in quadrant II, . 2 π θ π < < Since 1.57 and 3.14, 2 π π 2 and 3 are the only integers in the interval. Since θ is closer to , 2 π the radian measure of θ is 2 radians. 3. Since θ is in quadrant II, . 2 π θ π < < Since 1.57 and 3.14, 2 π π 2 and 3 are the only integers in the interval. Since θ is closer to , π the radian measure of θ is 3 radians. 4. Since θ is an angle in quadrant IV drawn in a clockwise direction, 0. 2 π θ < < Also 1.57, 2 π ≈ − and –1 is the only integer in the interval. Thus, the radian measure of θ is –1 radian. 5. Since θ is an angle in quadrant III drawn in a clockwise direction, . 2 π π θ < < − Also 3.14 π ≈ − and 1.57, 2 π ≈ − so –2 and -3 are the only integers in the interval. θ is closer to π , so the radian measure of θ is –3 radians. 6. Since θ is an angle in quadrant III drawn in a clockwise direction, . 2 π π θ < < − Also 3.14 π ≈ − and 1.57, 2 π ≈ − so –2 and -3 are the only integers in the interval. θ is closer to 2 π , so the radian measure of θ is –2 radians. 7. 60 60 radian radians 180 3 π π ° = = 8. 30 30 radian radians 180 6 π π ° = = 9. 90 90 radian radians 180 2 π π ° = = 10. 2 120 120 radian radians 180 3 π π ° = = 11. 5 150 150 radian radians 180 6 π π ° = = 12. 3 270 270 radian radians 180 2 π π ° = = 13. 5 300 300 radian radians 180 3 π π ° = − = − 14. 7 315 315 radian radians 180 4 π π ° = − = − 15. 5 450 450 radian radians 180 2 π π ° = = 16. 8 480 480 radian radians 180 3 π π ° = = 17. 1800 1800 radian 10 radians 180 π π ° = ° = ° 18. 3600 3600 radian 180 20 radians π π ° = − ° ° = − 19. Multiply the degree measure by radian 180 π and reduce. Your answer will be in radians. Leave the answer as a multiple of , π unless otherwise directed.
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
534 Chapter 6: The Circular Functions and Their Graphs 20. Multiply the radian measure by 180 π ° and reduce. Your answer will be in degrees. 21.-24. Answers will vary. 25. 180 60 3 3 π π π ° = = ° 26. 8 8 180 480 3 3 π π π ° = = ° 27. 7 7 180 315 4 4 π π π ° = = ° 28. 2 2 180 120 3 3 π π π ° = = ° 29. 11 11 180 330 6 6 π π π ° = = ° 30. 15 15 180 675 4 4 π π π ° = = ° 31. 180 30 6 6 π π π ° = − = − ° 32.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern