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Academics – Mathematics : 2014/APR/05
Question

Q5. (a) Draw the graph of y = 2cos θ - sin θ in the range 1 ≤ θ ≤ 5 radians in intervals of 0.5 radians. (10)

Suggested scales:      horizontal axis 2 cm = 0.5

vertical axis 2 cm = 0.4

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

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

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

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