Question

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 ?

Answer 1

That means the angle is in Quadrant III

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

Yes

Answer 6

Use it to find the hypotenuse in that right triangle.

Answer 7

5.83

Answer 8

I believe your problem specifies "exact form"

Answer 9

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?