SOLUTION: if tan(x)=10/19 in quadrant-1) find sin (2x)

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Question 1193970: if tan(x)=10/19 in quadrant-1) find sin (2x)
Answer by ikleyn(52905) About Me  (Show Source):
You can put this solution on YOUR website!
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if tan(x)=10/19 in quadrant-1) find sin (2x)
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If tan(x) = 10/19,  you may think that  sin(x) = 10%2Fsqrt%2810%5E2%2B19%5E2%29,  cos(x) = 19%2Fsqrt%2810%5E2%2B19%5E2%29.


Then sin(2x) = 2*sin(x)*cos(x) = 2%2A%2810%2Fsqrt%2810%5E2%2B19%5E2%29%29%2A%2819%2Fsqrt%2810%5E2%2B19%5E2%29%29 = %282%2A10%2A19%29%2F%2810%5E2%2B19%5E2%29 =

             = 380%2F461 = use your calculator = 0.8242950   (rounded).    ANSWER

Solved.