1 / 30

Pre-Calculus Final Review: Key Concepts in Trigonometry and Circles

This comprehensive review covers essential pre-calculus topics including coterminal angles, arc length calculations, right triangle trigonometry, transformations of sinusoids, and asymptotes of various trigonometric functions. Students will learn how to find one positive and one negative coterminal angle for a given angle, calculate arc lengths from radius and central angle, and evaluate trigonometric functions using a calculator. The review also includes the Law of Sines and Cosines, and vector components. Perfect for exam preparation!

galena
Download Presentation

Pre-Calculus Final Review: Key Concepts in Trigonometry and Circles

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Pre Calculus Final Review

  2. 1. Determine coterminal angles Find one positive and one negative angle that is coterminal with 214⁰ • Find one positive and one negative angle that is coterminalwith

  3. 1. Determine coterminal angles Find one positive and one negative angle that is coterminal with 214⁰ • Find one positive and one negative angle that is coterminalwith

  4. 2. Find arc length Find the length of the arc given the radius of 12 cm and the central angle is 35⁰ • Find the radius of the circle given an arc length of 33 ft and a central angle of 3.33.

  5. 2. Find arc length Find the length of the arc given the radius of 12 cm and the central angle is 35⁰ • Find the radius of the circle given an arc length of 33 ft and a central angle of 3.33.

  6. 3. Right Triangle Trigonometry • sin θ = _____ • cos θ = _____ • tan θ = _____ • csc θ = _____ • sec θ = _____ • cot θ = _____

  7. 3. Right Triangle Trigonometry • sin θ = _____ • cos θ = _____ • tan θ = _____ • csc θ = _____ • sec θ = _____ • cot θ = _____

  8. 4. Evaluate sin, cos, tan, csc, sec, and cot using a calculator

  9. 4. Evaluate sin, cos, tan, csc, sec, and cot using a calculator

  10. 5. Angle of depression/elevation

  11. 6. Transformations of sinusoids • Amplitude: • Period: • Phase shift: • Vertical shift: • Frequency:

  12. 6. Transformations of sinusoids • Amplitude: • Period: • Phase shift: • Vertical shift: • Frequency:

  13. 7. Asymptotes of tan (x), sec (x), csc (x), and cot (x) • Find all asymptotes for: • Find all asymptotes for:

  14. 7. Asymptotes of tan (x), sec (x), csc (x), and cot (x) • Find all asymptotes for: • Find all asymptotes for:

  15. 8. Inverse trig functions Evaluate:

  16. 8. Inverse trig functions Evaluate:

  17. 9. Fundamental trig Identities

  18. 9. Fundamental trig Identities

  19. 10. Trig equations • [0, 2π)

  20. 10. Trig equations • [0, 2π)

  21. 11. Law of sines/cosines • Given find side c. • Given find side a.

  22. 11. Law of sines/cosines • Given find side c. • Given find side a.

  23. 12. Area of triangles

  24. 12. Area of triangles

  25. 13. Component form of a vector 1. Initial point (5, 11); terminal point (-1, 13) 2.

  26. 13. Component form of a vector 1. Initial point (5, 11); terminal point (-1, 13) 2.

  27. 14. Direction angle of a vector

  28. 14. Direction angle of a vector

  29. 15. Resultant vector Find u+ w Find -2w + 5u

  30. 15. Resultant vector Find u+ w Find -2w + 5u

More Related