IB Questionbank

Updates to Questionbank

User interface language: English | Español

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

$f(x) = a\sin (b(x + c)) + d$ .

08M.2.hl.TZ2.2: The depth, h(t) metres, of water at the entrance to a harbour at t hours after midnight on a...
09M.1.hl.TZ1.2: The diagram below shows a curve with equation $y = 1 + k\sin x$ , defined for...
15N.2.hl.TZ0.4a: Find the value of (i) $A$ ; (ii) $B$ ; (iii) $C$ .