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 ?

Question

mertsj · Answer

That means the angle is in Quadrant III

mertsj · Answer

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mertsj · Answer

Find the hypotenuse then use the definitions of sin and cos.  (Remember:  sin and cos are both negative in Quadrant III)

anonymous · Answer

Sorry, can you go a bit further. Trying to help my daughter .

mertsj · Answer

Would I be correct in assuming that you know the Pythagorean Theorem?

anonymous · Answer

Yes

mertsj · Answer

Use it to find the hypotenuse in that right triangle.

anonymous · Answer

5.83

mertsj · Answer

I believe your problem specifies "exact form"

anonymous · Answer

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 · Answer

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