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Academics – Mathematics : 2011/JUL/05
Question

Q5. (a) Draw the graph of y = 2 sinθ- cosθ in the range 0 ≤ θ≤ 4 radians in intervals of

0.5 radians. (10)

(b) Determine EACH of the following using the graph drawn in Q5(a):

(i) the maximum value of y; (2)

(ii) the values of θ such that y = 0. (4)

Suggested scales: horizontal axis 2 cm = 0.4

vertical axis 2 cm = 0.4

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