anonymous
  • anonymous
prove. sin [(pi over 4)+x] + sin [(pi over 4)-x] = sqrt{2} cosx
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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myininaya
  • myininaya
i think expanding both of those things might help
anonymous
  • anonymous
use ... sin(a=b)= sin(a)cos(b) +cos(a)sin(b) and sin(a-b)= sin(a)cos(b) -cos(a)sin(b)
anonymous
  • anonymous
all i know is that i will have to use addition indentities.

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myininaya
  • myininaya
\[[\sin(\frac{\pi}{4})\cos(x)+\sin(x)\cos(\frac{\pi}{4})]+[\sin(\frac{\pi}{4})\cos(x)-\sin(x)\cos(\frac{\pi}{4})]\]
myininaya
  • myininaya
\[\frac{\sqrt{2}}{2} \cos(x)+\sin(x) \frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\cos(x)-\sin(x)\frac{\sqrt{2}}{2}\]
myininaya
  • myininaya
combine like terms and you will be done
anonymous
  • anonymous
its 2sin(a)cos(b)....now plug valus.....(2/\[\sqrt{2}\] ) sinx
anonymous
  • anonymous
\[\sqrt{2}\] sin x
anonymous
  • anonymous
you rock myininaya!!! thank you so much!!! and i appreciate your work and help Sam_unleashed! :)

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