5 marksTrigonometric Functions, Identities and Equations

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

Express f(theta) = sqrt(2) cos theta - sin theta in the form R cos(theta + alpha).

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

7(b)Hence, find the minimum value of f(theta), where 0 <= theta <= 2pi.[1 mark]
7(c)Determine the value of theta, 0 <= theta <= 2pi, at which the minimum value of f(theta) occurs.[2 marks]

More practice: the rest of this paper · more Trigonometric Functions, Identities and Equations questions · all CAPE Pure Mathematics Unit 1 past papers