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.

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Presentation transcript:

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)

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)

AS TC θθ θ θ

You are given a graph in the form of f(x) = A cos (B(  -C)) + D 1.Use the graph to estimate the solutions to the equation A cos (B(  -C)) + D = 2 on the domain 0    Determine the values of A, B, C and D. 3.Which of these values would change if the graph was modelled using sine instead of cosine? 4.How would it change?

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

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