anonymous
  • anonymous
If tan x =3/5 and x is greater than 180 degrees but smaller than 270 degrees. What is the exact value of sin x and cos x ?
Trigonometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Mertsj
  • Mertsj
That means the angle is in Quadrant III
Mertsj
  • Mertsj
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Mertsj
  • Mertsj
Find the hypotenuse then use the definitions of sin and cos. (Remember: sin and cos are both negative in Quadrant III)

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anonymous
  • anonymous
Sorry, can you go a bit further. Trying to help my daughter .
Mertsj
  • Mertsj
Would I be correct in assuming that you know the Pythagorean Theorem?
anonymous
  • anonymous
Yes
Mertsj
  • Mertsj
Use it to find the hypotenuse in that right triangle.
anonymous
  • anonymous
5.83
Mertsj
  • Mertsj
I believe your problem specifies "exact form"
anonymous
  • anonymous
So I leave it as sq root 34. Then cos x is -5/sq root 34 and sin x is -3/sq root 34. Is that correct?
Mertsj
  • Mertsj
|dw:1393720948851:dw|
anonymous
  • anonymous
Sorry, why are you multiplying by sq rt 34, then dividing by 34 ?
Mertsj
  • Mertsj
It is not considered simple form to have a radical in the denominator.
Mertsj
  • Mertsj
\[\frac{5}{\sqrt{34}}\times \frac{\sqrt{34}}{\sqrt{34}}=\frac{5\sqrt{34}}{34}\]
anonymous
  • anonymous
Thanks for that. You've Ben a great help.
anonymous
  • anonymous
been
Mertsj
  • Mertsj
yw

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