anonymous
  • anonymous
If sin θ = 1/3 and tan θ < 0, what is the value of cos θ?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
draw a triangle
anonymous
  • anonymous
|dw:1442452830325:dw|
anonymous
  • anonymous
there is a picture of an angle whose sine is \(\frac{1}{3}\) find the missing side via pythagoras

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anonymous
  • anonymous
you can pretty much do it in your head what is \(3^2\)?
anonymous
  • anonymous
9
anonymous
  • anonymous
and \(1^2\)?
anonymous
  • anonymous
1
anonymous
  • anonymous
and \(9-1\)?
anonymous
  • anonymous
8
anonymous
  • anonymous
so answer for the missing side is \(\sqrt{8}\) now two more steps
anonymous
  • anonymous
2√2
anonymous
  • anonymous
|dw:1442453007407:dw|
anonymous
  • anonymous
yeah that too now the cosine is adjacent over hypotenuse, but don't forget that \(\tan(\theta)<0\) which means the cosine must be negative
anonymous
  • anonymous
-√8/3
anonymous
  • anonymous
or -(2√2)/3
anonymous
  • anonymous
yes probably your teacher will like the second one more
anonymous
  • anonymous
YES! thank you! you're gr8 :)
anonymous
  • anonymous
lol yw

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