anonymous
  • anonymous
integral of cos(3x-5)^2
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
use double angles rules
anonymous
  • anonymous
cos2x=2cosx-1 .. did you get it ?
anonymous
  • anonymous
and what about the cos^2

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anonymous
  • anonymous
sry cos2x=2cosx^2-1
myininaya
  • myininaya
Recall the double angle identity for cosine. \[\cos(2 \alpha )=\cos^2(\alpha)-\sin^2(\alpha)=\cos^2(\alpha)-(1-\cos^2(\alpha))\] \[\cos(2 \alpha)=\cos^2(\alpha)-1+\cos^2(\alpha)\] \[\cos(2 \alpha)=2 \cos^2(\alpha)-1\] Solve this equation for cos^2(alpha): \[\cos^2(\alpha)=\frac{1}{2}(1+\cos(2 \alpha))\]
anonymous
  • anonymous
Thank you Amrmagdy and Myininaya :D
anonymous
  • anonymous
urw

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