SOLUTION: sin(x)=8/17 find the exact value of tan(2x) pie/2 <x<pie

Question 850302: sin(x)=8/17 find the exact value of tan(2x)
pie/2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
sin(x)=8/17 find the exact value of tan(2x)
reference angle in quadrant II in which sin>0, cos<0, tan<0
Identity:

tan(x)=sin/cos=-8/15

calculator check:
sinx=8/17 (in quadrant II)
x≈151.93˚
2x=303.86
tan(2x)=tan(303.86)≈-1.490
exact value=-(16/15)/(161/225)≈-1.490
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