anonymous
  • anonymous
If cos θ = 8/17 and 3π/2 < θ < 2π, compute sin θ and cot θ. 1) sin θ= 2) cot θ=
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Jhannybean
  • Jhannybean
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Jhannybean
  • Jhannybean
\[\sf \text{SOHCAHTOA} \implies \cos(\theta) =\frac{adj}{hyp}\]
Jhannybean
  • Jhannybean
therefore \(\sf \sin(\theta) = \dfrac{opp}{hyp}\)

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Jhannybean
  • Jhannybean
We can figure out the opposite side by using pythagorean theorem: \(y^2 = 17^2-8^2\)
Jhannybean
  • Jhannybean
\[y= \sqrt{17^2-8^2}\]
Jhannybean
  • Jhannybean
So therefore, \(\sin(\theta) = \frac{y}{17}\)
anonymous
  • anonymous
It has to be an exact answer, it won't accept square roots.
Jhannybean
  • Jhannybean
You didn't even solve for it.
anonymous
  • anonymous
the square root IS the exact answer
Jhannybean
  • Jhannybean
gotta go.
anonymous
  • anonymous
Oh wait, I got it, thank you.

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