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=2√74(−34)=−3√78sin2α=2√74(−34)=−3√78 A1
Note: √74√74 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.