SOLUTION: Find the exact value of the requested trigonometric function of theta. sin theta = -8/9 tan theta >0 Thank you for your time.

Question 325199: Find the exact value of the requested trigonometric function of theta.
sin theta = -8/9 tan theta >0
Thank you for your time.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming that you want to find the value of

Draw a triangle in the third quadrant (since sine is negative, but tangent is positive) and label the two legs to be 'x' and 8. Since the hypotenuse is 9, this means by the pythagorean theorem, we get . Solve for 'x' to get

Now recall that tangent = opposite/adjacent. In this case, the opposite side is 8 units long and the adjacent side is units long. So

Or simply put,
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