SOLUTION: Find the exact value for csc x if the point (-3, -6) lies on the terminal side of the angle ‘x’ in standard position.

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Question 1011248: Find the exact value for csc x if the point (-3, -6) lies on the terminal side of the angle ‘x’ in standard position.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Easier way to view is right triangle of one leg 3 for x, other leg 6 for y and hypotenuse sqrt%289%2B36%29=sqrt%2845%29=3sqrt%285%29.

sine is sin%28x%29=6%2F%283sqrt%285%29%29=2%2Fsqrt%285%29, and because of where you find your terminal side, this will be sin%28x%29=-2%2Fsqrt%285%29. You could rationalize the denominator if you want. Finally, you want highlight%28csc%28x%29=-sqrt%285%29%2F2%29.