`secx=2`

Text Solution

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`secx = 2=secpi/3` or `sec(2pi-pi/3)`
`rArr x=pi/3` or `(2pi-pi/3)`
`rArr x=pi/3`or `(5pi)/(3)`
Therefore, principal solution of equation `secx=2` is `x=pi/3` or `(5pi)/(3)`.
`secx=2`
`1/(cosx)=2`
`cosx=1/2=cos60^(@)`
`cosx=cospi/3`
and general solution is `x=2npi+-pi/3, n in Z` Ans.
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