SOLUTION: Hello, I was wondering if anyone could help me solve this problem: If angles x and y are in the same quadrant, and sinx=3/5 and cosy=-5/13 determine the value of sin (x-y). I

Question 253555: Hello, I was wondering if anyone could help me solve this problem:
If angles x and y are in the same quadrant, and sinx=3/5 and cosy=-5/13 determine the value of sin (x-y).
I would greatly appreciate the help!
Thanks,
Justine
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Both triangles will be in quad II.
--
Quad II, angle x:
Label the y-axis (vertical leg) = 3
Label the x-axis (horizontal leg) = -4
Label the hypotenuse = 5
sin(x) = 3/5
cos(x) =-4/5
--
Quad II, angle y:
Label the y-axis (vertical leg) = 12
Label the x-axis (horizontal leg) = -5
Label the hypotenuse = 13
siny = 12/13
cosy = -5/13
--
We want sin(x-y), so we need the formula

we substitute our information in as:

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