CAPE Pure Mathematics Unit 1 · May/June 2001 · Paper 2 · Question 2(d)(i)
Sketch, in separate diagrams, the graphs of y = sin x and y = cos x for -2π ≤ x ≤ 2π.
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Practise this questionOther parts of this question
- 2(a)(i)Express f(x) in the form p(x-q)² + r, where p, q, r ∈ R.[3 marks]
- 2(a)(ii)Sketch the graph of f(x).[2 marks]
- 2(a)(iii)Hence, or otherwise, find the turning point of the graph and determine whether it is a maximum or a minimum.[3 marks]
- 2(b)Given that δ is an acute angle such that cos δ = (1/4)x, find the expression for sin 2δ in terms of x.[4 marks]
- 2(c)(i)Express cot θ and cosec θ in terms of x and y.[3 marks]
- 2(c)(ii)Find an equation connecting x and y.[2 marks]
- 2(d)(ii)State clearly the transformation which maps y = cos x onto y = sin x.[2 marks]
More practice: the rest of this paper · more Trigonometric Functions, Identities and Equations questions · all CAPE Pure Mathematics Unit 1 past papers