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2016-04-25T12:50:25+05:30

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Given,
sin x =  4/5 =opp/ hyp
adj = 3 ( pythagorean triplet)
   or
adj ²=  hyp² - opp²
adj² = 5² - 4²
adj²  = 25 - 16
adj² = 9
adj = √9 = 3
now,
tan x = opp/ adj
         = 4/3
cot x = 1/ tanx = 1/ (4/3)
                        = 3/4
then,
tan x/ cot x =( 4/3) / (3/4)
                   = 16/9

1 5 1
2016-04-25T13:35:45+05:30
Hope this helps you.
its with diagram and easy process
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