SOLUTION: cos(x+y) =4/5 sin (x-y) = 5/13 x and y lies between 45° . find the value of tan2x

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Question 766536: cos(x+y) =4/5 sin (x-y) = 5/13
x and y lies between 45° .
find the value of tan2x
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
cos(x+y) =4/5 sin (x-y) = 5/13
x and y lies between 45° .
find the value of tan2x
***
cos(x+y)=4/5
x+y≈36.87º
sin(x-y)=5/13
x-y≈22.62º
..
x+y≈36.87º
x-y≈22.62º
add
2x≈59.49º
tan2x≈1.70