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If |sinx|lt1, then most general solution...

If `|sinx|lt1`, then most general solution of the equation `3^(1+|sinx|+|sinx|+|sinx|^(3)+…..oo)=9` is given by

A

`npi+(pi)/(6),ninI`

B

`npi+(-1)^(n)(pi)/(6),ninI`

C

`npi+(-1)^(n+1)(pi)/(6),ninI`

D

`npi+-(pi)(6),ninI`

Text Solution

Verified by Experts

The correct Answer is:
A
Clearly, `3^((1)/(1-|sinx|))=3^(2)implies|sinx|=(1)/(2)`
`So, `x=npi+-(pi)/(6),ninI` is the most general solution. Ans.
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