anonymous
  • anonymous
Verify that sin(x+pi/2)=cosx
Mathematics
chestercat
  • chestercat
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AravindG
  • AravindG
use sin(A+B) formula
primeralph
  • primeralph
|dw:1372182326719:dw|
anonymous
  • anonymous
Wait what?

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AravindG
  • AravindG
do you know sin(A+B) expansion?
anonymous
  • anonymous
yes. sin(x+y)=sinxcosy+cosxsiny
AravindG
  • AravindG
ok here y=pi/2
AravindG
  • AravindG
substitute and put values
anonymous
  • anonymous
alright so. sinxcospi/2+cosxsinpi/2
AravindG
  • AravindG
yep
AravindG
  • AravindG
sin pi/2= ... cos pi/2=....
primeralph
  • primeralph
?
anonymous
  • anonymous
sin=1 cos=0?
anonymous
  • anonymous
I'm confused now
AravindG
  • AravindG
yes
primeralph
  • primeralph
You know the formula. Use the formula?
AravindG
  • AravindG
sin pi/2=1 cos pi/2=0
AravindG
  • AravindG
Put the vales there
AravindG
  • AravindG
*values
AravindG
  • AravindG
sinxcospi/2+cosxsinpi/2
anonymous
  • anonymous
so sinxcos0+cosxsin1?
anonymous
  • anonymous
how does this equal cos?
AravindG
  • AravindG
sinx *0+cosx *1=....
primeralph
  • primeralph
|dw:1372182809686:dw|
anonymous
  • anonymous
oh! Thank you both!
AravindG
  • AravindG
yw :)

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