SOLUTION: if sinx= 3/5 on the interval(pi/2,pi), find the exact value of tan(2x)

Question 851983: if sinx= 3/5 on the interval(pi/2,pi), find the exact value of tan(2x)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
if sinx= 3/5 on the interval(pi/2,pi), find the exact value of tan(2x)
***
Identity:
sin(x)=3/5

tan(x)=-sin(x)/cos(x)=-3/4

...
calculator check:
sin(x)=3/5 (Q2 in which sin>0, cos<0)
x=143.13˚
2x=286.26
tan(2x)=tan(286.26)≈-3.4286�
Exact value=-24/7≈-3.4285...
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