SOLUTION: cosy= -4/5 , sin x =-12/13 , y is in the third quadrant, and x is in the fourth quadrant; evaluate sin 2 y .
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Question 1082226: cosy= -4/5 , sin x =-12/13 , y is in the third quadrant, and x is in the fourth quadrant; evaluate sin 2 y .
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ -\frac{4}{5})
\ <\ 0)
\ =\ \frac{16}{25})
\ =\ \frac{16}{25})
\ =\ \frac{9}{25})
\ =\ \pm\frac{3}{5})
But since \ <\ 0)
\ =\ -\frac{3}{5})
Then
\ =\ 2\sin(\varphi)\cos(\varphi))
\ =\ 2\left(-\frac{3}{5}\right)\left(-\frac{4}{5}\right)\ =\ \frac{24}{25})
John
My calculator said it, I believe it, that settles it
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