SOLUTION: Caculate sin (2o) given sin (0)= -3/5, where PI-= o + 3 PI/2

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Question 1044389: Caculate sin (2o) given sin (0)= -3/5, where PI-= o + 3 PI/2
Answer by Alan3354(69443) About Me  (Show Source):
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Caculate sin (2o) given sin (0)= -3/5, where PI-= o + 3 PI/2
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Not completely clear. Maybe you mean:
Caculate sin (2x) given sin(x)= -3/5, where pi <= x <= 3pi/2
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Angle x is in Q3
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Find cos(x)
cos = sqrt(1 - sin^2) = sqrt(1 - 9/25) = -4/5 *** cosine negative in Q3
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sin(2x) = 2sin(x)cos(x) = 24/25