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The general solution of (tan 5x-tan 4x)/...

The general solution of `(tan 5x-tan 4x)/(1+ tan 5 x tan 4x)=1` is

A

`n pi+pi/4, AA n in Z`

B

`n pi pm pi/4, AA n in Z`

C

`phi`

D

`n pi=pi/6, AA n in Z`

Text Solution

Verified by Experts

The correct Answer is:
A
`(tan 5x-tan 4x)/(1+tan 5x tan 4x)=1`
`rArr tan (5 x-4x)=1`
`rArr tan x=1`
`rArr x= n pi +pi/4, n in Z`
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