SOLUTION: how do you determine the exact value of tan2x if cotx=4/3,0<x<pi/2?

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Question 916481: how do you determine the exact value of tan2x if cotx=4/3,0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
determine the exact value of tan2x if cotx=4/3,0 cotx=1/tanx=4/3
tanx=3/4

..
check:
tanx=3/4
x=36.87
2x=73.74
by calculator:
tan2x=tan 73.74˚≈3.4286...
exact value as computed=48/24≈3.4285...