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2006 WAEC Mathematics Theory (a) Copy and complete the table of the relation \(y = 2\sin x - \cos...

Mathematics
WAEC 2006

(a) Copy and complete the table of the relation \(y = 2\sin x - \cos 2x\).

x 30° 60° 90° 120° 150° 180°
y   0.5         -1.0

Using a scale of 2 cm to 30° on the x- axis and 2 cm to 0.5 unit on the y- axis, draw the graph of \(y = 2\sin x - \cos 2x\), for \(0° \leq x \leq 180°\).

(b) Using the same axes, draw the graph of \(y = 1.25\).

(c) Use your graphs to find the : (i) values of x for which \(2\sin x - \cos 2x = 0\) ; (ii) the roots of the equation \(2\sin x - \cos 2x = 1.25\).

 

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Explanation

(a) \(y = 2\sin x - \cos 2x\)

x 30° 60° 90° 120° 150° 180°
y -1.0 0.5 2.2 3.0 2.2 0.5 -1.0

(b)  

 


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free