Using the vectors P = î cos 0 + ŷ sin0, Q = î cos 9 – ŷ sin o, R = â cos 4 + ŷ sin ø, prove the familiar trigonometric identities sin(0 +4) = sin 0 cos y + cos 0 sin o, cos(0 + y) = cos 0 cos o – sin 0 sin . %D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1.4.8
Using the vectors
P = x cos 0 + ŷ sin ,
Q = x cos 9 – ŷ sin o,
R=â cos 4 + ŷ sin o,
prove the familiar trigonometric identities
sin(0 +4) = sin0 cos y + cos 0 sin ø,
cos(0 + 4) = cos 0 cos o – sin 0 sin ø.
Transcribed Image Text:1.4.8 Using the vectors P = x cos 0 + ŷ sin , Q = x cos 9 – ŷ sin o, R=â cos 4 + ŷ sin o, prove the familiar trigonometric identities sin(0 +4) = sin0 cos y + cos 0 sin ø, cos(0 + 4) = cos 0 cos o – sin 0 sin ø.
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