Coursepack - MAC1114 TRIGONOMETRY COURSEPACK PROFESSOR...

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MAC1114 TRIGONOMETRY COURSEPACK PROFESSOR SIEGEL jsiegel@broward.edu BROWARD COLLEGE Directions: Print this coursepack and bring it to class every class period. Your professor will not be handing out worksheets in class. With the exception of the Algebra Review for Trigonometry and Quest projects, these handouts are to be used during class to take notes on and are not due as assignments. The Algebra Review for Trigonometry is an optional review activity and will not be collected (see solutions on the course website), and the Quest projects are due (see syllabus for the due dates).
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Algebra Review for Trigonometry Part I: Simplify the following completely. 1. 1 2 2. 2 3 3. 1 2 2 3 4. 22 ( 1) ( 3) 5. 2 2 3 2 1 5 x Part II: Combine and simplify completely. 6. 3 7. 2 4 8. 7 6 9. 5 2 4 Part III: Solve the following for x. 10. 3 2 4 xn 11. 32 12. 4 42 13. 1 2 3 2 3 Part IV: Simplify the following completely. Don’t forget about Aunt Sally! 14. 1 2 3 2 2 2 2 2 15. 45 3 12 1 3 12 16. 3 1 3 3 1 3 17. 2 1 2 2 18. 2 2 2 1 2 Part V: Simplify the following completely. Don’t forget about Aunt Sally! 19. 1 2 2 1 1 4 20. 12 2 55 21. 21 Part VI: Simplify the following completely. 22. 2(1) 2 4 23. 2(3) 4 3 24. 315 360(3) 3
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Answers: 1. 2 2 2. 23 3 3. 6 4 4. 10 5. 3 5 5 x 6. 4 3 7. 7 4 8. 6 9. 13 4 10. 3 82 xn 11. 2 33 12. 3 16 4 13. 6 2 14. 26 4 15. 56 16. 17. 22 2 18. 21 19. 4 3 20. 4 5 21. 3 5 22. 5 8 23. 25 12 24. 485
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Common Angles in Trigonometry The “45’s” The “30’s and 60’s” All the Common Angles
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Greek Alphabet Reference Guide Capital Low-case Greek Name English Alpha a Beta b Gamma g Delta d Epsilon e Zeta z Eta h Theta th Iota i Kappa k Lambda l Mu m Nu n Xi x Omicron o Pi p Rho r Sigma s Tau t Upsilon u Phi ph Chi ch Psi ps Omega o
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Section 6.2 – Notes Right Triangles: Right Triangle Trigonometry: Reciprocal Identities: Example 1: If is an acute angle and 5 3 tan , find the values of all six trig functions. Special Triangles : 45-45-90 : 30-60-90 :
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Fundamental Identities: 1) Reciprocal Identities: 2) Tangent / Cotangent Identities: 3) Pythagorean Identities: Proofs of Identities: Example 2: Suzie stands 32 feet from a building and the angle from her feet to the top of the building is 60 º. What is the height of the building? TRIG CHEATING CHART Degrees Radians sin cos tan cot sec csc 30º 45º 60º 90º Example 3: Show that tan 1 cos sin . (#64 in textbook)
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Example 4: Show that sec csc tan cot . (#65 in textbook). Trig Functions at ANY angle: Domains of Trig Functions: Function Domain sin , cos tan , sec cot , csc Example 5: If is an angle in standard position on a rectangular coordinate system and P(-2,- 5) is a point on the terminal side of , find values of the six trig functions.
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Coursepack - MAC1114 TRIGONOMETRY COURSEPACK PROFESSOR...

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