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Solve sec^(-1) x gt cosec^(-1) x...

Solve `sec^(-1) x gt cosec^(-1) x`

Text Solution

Verified by Experts

The correct Answer is:
`x in (-oo, -1] uu (sqrt2, oo)`
`sec^(-1) x gt pi//2 - sec^(-1) x`
`rArr sec^(-1) x gt pi//4`
`rArr sec^(-1) x in ((pi)/(4), (pi)/(2)) uu ((pi)/(2) , pi]`
`rArr x in (-oo, -1) uu (sqrt2, oo)`
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