CAPE Pure Mathematics Unit 1 · May/June 2009 · Paper 2 · Question 4(c)
Prove that tan (x/2 + π/4) = sec x + tan x.
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Practise this questionOther parts of this question
- 4(a)(i)Show that x = 4 cos θ + 9 sin θ.[4 marks]
- 4(a)(ii)By expressing x in the form r cos (θ – α), where r is positive and 0 < α < π/2, find the MAXIMUM possible value of x.[6 marks]
- 4(b)(i)Find, without using tables or calculators, the EXACT values of sin (A + B).[3 marks]
- 4(b)(ii)Find, without using tables or calculators, the EXACT values of cos (A - B).[3 marks]
- 4(b)(iii)Find, without using tables or calculators, the EXACT values of cos 2A.[2 marks]
More practice: the rest of this paper · more Trigonometric Functions, Identities and Equations questions · all CAPE Pure Mathematics Unit 1 past papers