SOLUTION: If csc=10/8, determine tan theta if pi/2< theta < pi. the greater and less than signs are also equas too.

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Question 957201: If csc=10/8, determine tan theta if pi/2< theta < pi.
the greater and less than signs are also equas too.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
If csc=10/8, determine tan theta if pi/2< theta < pi.
the greater and less than signs are also equals too.
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use x for theta
reference angle x is in quadrant II where sin>0, cos<0
sinx=1/cscx=8/10=4/5
cosx=-√(1-sin^2(x))=-√(1-16/25)=-√(9/25)=-3/5
tanx=sinx/cosx=-4/3