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Date May 2010 Marks available 4 Reference code 10M.2.hl.TZ1.1
Level HL only Paper 2 Time zone TZ1
Command term Find Question number 1 Adapted from N/A

Question

The graph below shows \(y = a\cos (bx) + c\).

 

 

Find the value of a, the value of b and the value of c.

Markscheme

\(a = 3\)     A1

\(c = 2\)     A1

period \( = \frac{{2\pi }}{b} = 3\)     (M1)

\(b = \frac{{2\pi }}{3}{\text{ }}( = 2.09)\)     A1

[4 marks]

Examiners report

Most candidates were able to find a and c, but many had difficulties with finding b.

Syllabus sections

Topic 3 - Core: Circular functions and trigonometry » 3.4 » Composite functions of the form \(f(x) = a\sin (b(x + c)) + d\) .

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