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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
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That means the angle is in Quadrant III
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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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Other answers:

Sorry, can you go a bit further. Trying to help my daughter .
Would I be correct in assuming that you know the Pythagorean Theorem?
Yes
Use it to find the hypotenuse in that right triangle.
5.83
I believe your problem specifies "exact form"
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?
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Sorry, why are you multiplying by sq rt 34, then dividing by 34 ?
It is not considered simple form to have a radical in the denominator.
\[\frac{5}{\sqrt{34}}\times \frac{\sqrt{34}}{\sqrt{34}}=\frac{5\sqrt{34}}{34}\]
Thanks for that. You've Ben a great help.
been
yw

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