2 marksTrigonometric Functions, Identities and Equations

CAPE Pure Mathematics Unit 1 · May/June 2005 · Paper 1 · Question 7(c)

Determine the value of theta, 0 <= theta <= 2pi, at which the minimum value of f(theta) occurs.

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7(a)Express f(theta) = sqrt(2) cos theta - sin theta in the form R cos(theta + alpha).[5 marks]
7(b)Hence, find the minimum value of f(theta), where 0 <= theta <= 2pi.[1 mark]

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