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Date November 2012 Marks available 4 Reference code 12N.1.hl.TZ0.1
Level HL only Paper 1 Time zone TZ0
Command term Find Question number 1 Adapted from N/A

Question

Given that π2<α<ππ2<α<π and cosα=34cosα=34, find the value of sin 2α .

Markscheme

sinα=1(34)2=74sinα=1(34)2=74     (M1)A1

attempt to use double angle formula     M1

sin2α=274(34)=378sin2α=274(34)=378     A1

Note: 7474 seen would normally be awarded M1A1.

 

[4 marks]

Examiners report

Many candidates scored full marks on this question, though their explanations for part a) often lacked clarity. Most preferred to use some kind of right-angled triangle rather than (perhaps in this case) the more sensible identity sin2α+cos2α=1sin2α+cos2α=1.

Syllabus sections

Topic 3 - Core: Circular functions and trigonometry » 3.2 » Definition of cosθcosθ , sinθsinθ and tanθtanθ in terms of the unit circle.

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