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# Graph y = cos x PowerPoint PPT Presentation

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 =.

Graph y = cos x

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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

Section 16G – Cosine Functions

amplitude =

1

period =

360

y = sin x

y = cosx

Example 1

### State the amplitude and period of:

• y= 2cos x

• y = 3cos (3x)

• y= 2cos (2/3x)

Example 2

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

• y = 3 + 2sin (3x)

• y = cos (½x) – 1

• y= 2 + ½sin (360x)

Example 3

Example 4

Example 5

### 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

• Gizmo Assessment

• www.explorelearning.com

• Gizmo: Translating and Scaling Sine and Cosine – Activity A

• Online Questions – Glencoe: Math Matters 3 / 14-4