In the diagram BAC = , CAF = and AC = 1. Additionally lines
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In the diagram ∠BAC = β, ∠CAF = α − β and AC = 1. Additionally lines AB and BC are perpendicular.
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a Show each of the following: LFAB=a i iii AB = cos 3 ii ZABD = a and ZECB = a iv BC = sin 3 b Use AABD to write an expression for the lengths i AD ii BD c Use ABEC to write an expression for the lengths i CE ii BE d Use AFAC to write an expression for the lengths i FC ii FA e Use your completed diagram to show that: i sin (a 3) = sin a cos 3- cos a sin 3 cos (a -3) = cos a cos 3 + sin a sin 3 ii
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a3 3 a So ZFAB a ZFAB LABD alternate angles LCBE 90a so ZBCE 90 90 a a iii cos 3 AB AB ...View the full answer
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Related Book For
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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