StudyGurl14
  • StudyGurl14
Help with trignometric equations! MEDAL
Mathematics
schrodinger
  • schrodinger
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StudyGurl14
  • StudyGurl14
|dw:1441828891570:dw| How do I eliminate one of the functions so I can solve for x?
campbell_st
  • campbell_st
start by making the subsitution sin^2 = 1 - cos^2
Nnesha
  • Nnesha
sin^2 x+ cos^2 = 1 solve for sin^2 x then replace sin^2x with that

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campbell_st
  • campbell_st
then rewrite the equation with all terms on one side and then you'll be solving a quadratic equation
StudyGurl14
  • StudyGurl14
Okay, thanks. I'll try that.
StudyGurl14
  • StudyGurl14
I'm stuck @Nnesha @campbell_st |dw:1441829434455:dw|
Nnesha
  • Nnesha
i guess typo a(b+c)=ab+ac
campbell_st
  • campbell_st
|dw:1441829240020:dw|
Nnesha
  • Nnesha
|dw:1441829549441:dw|
StudyGurl14
  • StudyGurl14
still stuck |dw:1441829563686:dw|
campbell_st
  • campbell_st
then is \[2\cos^2(x) + \cos(x) = 0\] factor this
StudyGurl14
  • StudyGurl14
Oh, okay. I get the rest. Thanks!
StudyGurl14
  • StudyGurl14
|dw:1441829644394:dw|
campbell_st
  • campbell_st
and don't forget the other solution
campbell_st
  • campbell_st
|dw:1441829404062:dw|
StudyGurl14
  • StudyGurl14
|dw:1441829749290:dw|
StudyGurl14
  • StudyGurl14
like that?
campbell_st
  • campbell_st
that's correct... so you now just need the angles...
StudyGurl14
  • StudyGurl14
thanks! I got it from here.

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