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Is sec^(-1)x= cosec^(-1)y, then the valu...

Is `sec^(-1)x= cosec^(-1)y`, then the value of `cos^(-1)(1/x)+cos^(-1)(1/y)` will be

A

π

B

π/4

C

π/2

D

-π/2

Text Solution

Verified by Experts

`sec^(-1) x = cosec^(-1) y`
or `cos^(-1).(1)/(x) = sin^(-1).(1)/(y)`
or `cos^(-1).(1)/(x) = (pi)/(2) - cos^(-1).(1)/(y)`
or `cos^(-1).(1)/(x) + cos^(-1).(1)/(y) = (pi)/(2)`
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