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  • If 5tan x= 4,Find the value of (5sin x - 3cos x)/ (5sin x -2cos x)

If 5tan x= 4,Find the value of (5sin x - 3cos x)/ (5sin x -2cos x)

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Solution: We have ,

\ 5tan x = 4 \ \Rightarrow tan x = 4/5

Now  , 

\ Rightarrow (5sinx-3cosx)/(5sinx-2cosx)

Dividing Nr and Dr by cos x

\ Rightarrow (5tanx-3)/(5tanx+2)\ \Rightarrow 5 imes 4/5 -3/5 imes 4/5 +2=1/6

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Posted by

Deependra Verma

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