18 Express 2cos 0+9sin e in the form Rcos(0-a), where R>0 and0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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part b 

the answer is 2.81 rad

18 Express 2cos 0+9sin 0 in the form Rcos (0 -a), where R>0 and 0<a<-n, giving the values of
2
R and a (radian). Hence
Write down the maximum value of 2cos 0+9sin O and the smallest positive value of 0 (radian)
at which this maximum value occurs.
а.
b. Find the smallest positive solution of the equation 2cos 0+9sin 0 =1.
Transcribed Image Text:18 Express 2cos 0+9sin 0 in the form Rcos (0 -a), where R>0 and 0<a<-n, giving the values of 2 R and a (radian). Hence Write down the maximum value of 2cos 0+9sin O and the smallest positive value of 0 (radian) at which this maximum value occurs. а. b. Find the smallest positive solution of the equation 2cos 0+9sin 0 =1.
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