SOLUTION: What is the exact value of sin &#952;, if cos &#952; = (-3/5) and 90° < &#952; < 180°? The choices are: F (5/3) G (&#8730;34/8) H (-4/5) J (-24/25) Please give an answer and

Algebra ->  Trigonometry-basics -> SOLUTION: What is the exact value of sin &#952;, if cos &#952; = (-3/5) and 90° < &#952; < 180°? The choices are: F (5/3) G (&#8730;34/8) H (-4/5) J (-24/25) Please give an answer and       Log On


   

Question 962093: What is the exact value of sin θ, if cos θ = (-3/5) and 90° < θ < 180°?
The choices are:
F (5/3)
G (√34/8)
H (-4/5)
J (-24/25)
Please give an answer and clear work/explanation!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sin%5E%282%29%28theta%29%2Bcos%5E2%28theta%29=1
sin%5E%282%29%28theta%29%2B9%2F25=1
sin%5E%282%29%28theta%29=16%2F25
sin%28theta%29=0+%2B-+4%2F5
Since 90%3Ctheta%3C180, the sine is positive.
sin%28theta%29=4%2F5
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Not one of the available choices.
Check the problem setup and repost if needed.