steve816
  • steve816
Help me solve this please!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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steve816
  • steve816
\[\sin(2 \theta) + 1 = 0\] So far, using the double angle formula, I have this. \[2\sin \theta \cos \theta + 1 = 0\]
Nerdsarecool
  • Nerdsarecool
Dude
mathmale
  • mathmale
Good start, Steve! Trouble is, you now have two trig functions to worry about: sine and cosine. That double angle formula can be really useful. But not here. So, my question for you is: Is there (or are there) another identity (identities) that would be more helpful here?

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mathmale
  • mathmale
\[\sin(2 \theta) + 1 = 0\]
steve816
  • steve816
Not sure what to do...
mathmale
  • mathmale
Could be solved for sin (2 theta). Next, you could temporarily substitute x for 2 theta, obtaining \[\sin x=-1\]
mathmale
  • mathmale
Can y ou solve this for x? Hint: there are an infinite number of solutions.
mathmale
  • mathmale
take any one of these solutions and set it equal to 2 theta. Then solve for theta. Again, the number of solutions is infiniite. How would you indicate that in your answer?
steve816
  • steve816
This is what I got\[\frac{ 3\pi }{ 2 } + 2\pi k\]
mathmale
  • mathmale
How would you check that? First, determine whether 3pi/2 is a solution. Then, check out 3pi/2+2pi. And so on. Best never to consider a problem of this kind solved until you've checked your answer.
steve816
  • steve816
I think I got it, thanks.

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