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Graph y = cos x

Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. Section 16G – Cosine Functions. Graph y = cos x. amplitude =. 1. period =.

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Graph y = cos x

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  1. Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004

  2. Section 16G – Cosine Functions Graph y = cosx amplitude = 1 period = 360

  3. y = sin x y = cosx

  4. Example 1 State the amplitude and period of: • y= 2cos x • y = 3cos (3x) • y= 2cos (2/3x)

  5. Example 2 State the amplitude, period and max/min values of: • y = 3 + 2sin (3x) • y = cos (½x) – 1 • y= 2 + ½sin (360x)

  6. Example 3 Write the equation of the sine function below.

  7. Example 4 Write the equation of the sine function below.

  8. Example 5 Sketch the graph of y = 2 + 2cos (3x)

  9. Example 6: IB Question Consider the function f(x) = 2sinx – 1 where 0 ≤ x ≤ 720°.(a) Write down the period of the function.(b) Find the minimum value of the function.

  10. Homework • Gizmo Assessment • www.explorelearning.com • Gizmo: Translating and Scaling Sine and Cosine – Activity A • Online Questions – Glencoe: Math Matters 3 / 14-4 • http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-538-68663-4&chapter=14&lesson=4&headerFile=4&state=na • Worksheet • #1, #2ace, #4 • Pg 537 – 16G • #1agh, #2abc,#3abcd

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