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You will need to be able to…

You will need to be able to…. Find A, B, C and D in Asin(B(x-C))+D and/or Acos(B(x-C ))+ D (example given) Estimate solutions to trig equations from their graphs (example given)

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You will need to be able to…

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  1. You will need to be able to… • Find A, B, C and D in Asin(B(x-C))+D and/or Acos(B(x-C))+D (example given) • Estimate solutions to trig equations from their graphs (example given) • Find exact and approximate values of sin, cos and tan given various values of  (special and not)(see latest packet no 46) • Given sin, cosor tan, find all possible values of  for special values and non-special values within a given domain (in some case you will need to do a little algebra first)(see latest packet no 46) • Use Sine and Cosine Rules and area formula (see relevant packets) • Spot the ambiguous case of the Sine Rule and explain why (example given) • Calculate coterminal and reference angles (example given)

  2. You will need to KNOW… • The Area Formula • The Sine Rule • The Cosine Rule (you will need to know both different forms or know one and be able to derive the other)

  3. 180 - θ θ S A θ + 180 360 - θ T C If it's a known ratio, e.g. , check the angle using special triangles and see if it's positive or negative using the CAST diagram.If it's not a known ratio, e.g. 0.265, find the principal angle using your calculator. Find the other related angle using the relationships sin  = sin 180-, cos  = cos - and tan = tan+180. Then add/subtract 360 to each to find other coterminal angles in the same domain.

  4. You are given a graph in the form of f(x) = A cos (B(-C)) + D Use the graph to estimate the solutions to the equation A cos (B(-C)) + D = 2 on the domain 0    720. Determine the values of A, B, C and D. Which of these values would change if the graph was modelled using sine instead of cosine? How would it change?

  5. Ambiguous Case of the Sine Rule • For each of the following, state with reasons whether there are one or two possible triangles: • A = 28°, b = 15cm, c = 18cm • C = 28°, b = 25m, c = 18cm • B = 28°, A = 56°, c = 0.3km

  6. Coterminal and reference angles A point P lies at (-4, 4) • State the principal angle • State the reference angle (related acute angle) • Give one negative coterminal angle • Give one positive coterminal angle

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