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Latihan Trigonometric Function

NAME : …………………………………………………… CLASS : …………….

DATE : ……………………….. AND ………………………..

CHAPTER 5 : TRIGONOMETRIC FUNCTIONS AND GRAPH

1.SPM 2004 P2Q3

(a) Sketch the graph of y= cos 2x for [3 marks]

(b) Hence, by drawing a suitable straight line on the same axes, find the number of solutions satisfying the equation 2 sin2 x = 2- for (ans:2) [3 marks]

2. SPM 2005 P2 Q5

(a) Prove that [2 marks]

(i) Sketch the graph of y = cos 2 x for

(ii) Hence, using the same axes, draw a suitable straight line to find the number of solutions to the equation for . State the number of solutions. (ans:4) [6 marks]

3.SPM 2006 P2 Q6

(a) Sketch the graph of y = -2 cos x for [4 marks]

(b) Hence, using the same axes, sketch a suitable graph to find the number of solutions to the equation for . State the number of solutions. [3 marks]

(ans:2)

4. SPM 2007 P2 Q3

(a) Sketch the graph of y = . [4marks]

(b) Hence, using the same axes, sketch a suitable straight line to find the number of solutions for the equation . State the number of solutions. [3marks]

5.

(a) Sketch the graph of y= sin x+1.for [3 marks]

(b) hence, using the same axes, sketch a suitable graph to find the number of solutions to the equation for . State the number of solutions. [3 marks]

(ans: 3)
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