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Weekly Plan

Weekly Plan. Monday – 1/27/14 Chapter Test Review – final thoughts Introduction to Identities – Learning objectives What is an identity? What are the fundamental trigonometric identities? Tuesday – 1/28/14 Develop a useful strategy for proving identities Work examples – “I do”, “We do”

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Weekly Plan

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  1. Weekly Plan • Monday – 1/27/14 • Chapter Test Review – final thoughts • Introduction to Identities – Learning objectives • What is an identity? • What are the fundamental trigonometric identities? • Tuesday – 1/28/14 • Develop a useful strategy for proving identities • Work examples – “I do”, “We do” • Wednesday Group Work – (short day version) • “Y’all Do” - Work trig puzzles/make group presentations • Thursday PreCal Workshop – 7 am to 8 am • Friday – 1/24/14 • Special Topic – Why do we need to explain our steps? • Questions/Quiz on Section 5.1 – prove a couple of identities • Move on to Section 5.2 – Apply Sum/Difference Identities

  2. Q/A on Verifying Identities • Questions? • Guided Practice - as a group • Review on page 640 • Problems 1, 5, 9

  3. Page 640 - Problem 1 1. sec(x) - cos(x) = tan(x) sin(x)

  4. Page 640 - Problem 5 5. 1 - tan(x) = csc(x) - sec(x) sin(x)

  5. Page 640 - Problem 9 9. 1 - sin2(x) = cos(x) 1+cos(x)

  6. Section 5.1 Quiz • Do two-line proofs – explain your steps as you go, 10 points each • 5 points for proof, 5 points for explanations of steps • cos(x)[tan(x) + cot(x)] = csc(x) • cos2(x) - 1 = 1 + sec(x) cos2(x)-cos(x)

  7. Section 5.2 - Page 599Sum and Difference Formulas cos(x+y) = cos(x)cos(y) - sin(x)sin(y) cos(x-y) = cos(x)cos(y) + sin(x)sin(y) sin(x+y) = sin(x)cos(y) + cos(x)sin(y) sin(x-y) = sin(x)cos(y) - cos(x)sin(y) • provides us a way to find exact values by using our standard reference values in our table!

  8. Remember this??? Rad. Deg. sin cos tan

  9. Examples: Page 603 4. cos 6. cos50ocos5o + sin50osin5o

  10. Examples: Page 603 • 10. Verify the following identity • cos(a-b) = cot(a)cot(b) + 1 • sin(a)sin(b)

  11. Special Cases 50. sin(x+h) - sin(x) = cos(x) sin(h) + sin(x) cos(h) -1 h hh

  12. Special Cases 57. sin(a) = 3/5, a in Q1 sin(b) = 5/13, b in Q2 Find sin(a+b), cos(a+b)

  13. Section 5.2 Homework • Page 603 - 604 • 1,3,5,7 • 11,15,17 • 33,35 • 57, 59, 61

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