anonymous
  • anonymous
If Sin(x)+Cos(x)=5/4, What is Sin(2x) given that 0
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SOLVED
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schrodinger
  • schrodinger
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dan815
  • dan815
|dw:1438557266598:dw|
anonymous
  • anonymous
So Tan x=5/4? If so, Im confused on what to do next
dan815
  • dan815
sry wait

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dan815
  • dan815
ignore those comments
dan815
  • dan815
sin(2x)= 2sin(x) cos(x) this is an identity
dan815
  • dan815
|dw:1438558276453:dw|
dan815
  • dan815
now solve for x
anonymous
  • anonymous
Sorry to be a bother, but how'd you get it to match the identity like that?
dan815
  • dan815
i multiplied both sides by 2cosx
dan815
  • dan815
since that would make the left side equal to sin(2x)
dan815
  • dan815
now u end up with nice working equations
dan815
  • dan815
by divide both sides by cos(x)
dan815
  • dan815
ugh lemme think what can we do with this now
dan815
  • dan815
|dw:1438558934418:dw|
dan815
  • dan815
|dw:1438558970510:dw|
dan815
  • dan815
you gotta solve these 2 system of equations somehow
anonymous
  • anonymous
Since the problem only asks for What Sin2x equals, wouldn't -2Cos^2(x)+5/2Cos(x) be correct?
dan815
  • dan815
well i guess, but are u sure they arent looking for value for x
anonymous
  • anonymous
I just checked. They only want Sin2x=... Thank you so much
dan815
  • dan815
ok you're welcome!

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