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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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Graph y cos x

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


Graph y cos x

Section 16G – Cosine Functions

Graph y = cosx

amplitude =

1

period =

360


Graph y cos x

y = sin x

y = cosx


State the amplitude and period of

Example 1

State the amplitude and period of:

  • y= 2cos x

  • y = 3cos (3x)

  • y= 2cos (2/3x)


State the amplitude period and max min values of

Example 2

State the amplitude, period and max/min values of:

  • y = 3 + 2sin (3x)

  • y = cos (½x) – 1

  • y= 2 + ½sin (360x)


Write the equation of the sine function below

Example 3

Write the equation of the sine function below.


Write the equation of the sine function below1

Example 4

Write the equation of the sine function below.


Sketch the graph of y 2 2cos 3 x

Example 5

Sketch the graph of y = 2 + 2cos (3x)


Example 6 ib question

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.


Homework

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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