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Find the smallest positive number p for ...

Find the smallest positive number p for which the equation `cos (p sinx) = sin ( p cos x)` has a solution when ` x in [0,2pi].`

A

` (pi)/(sqrt(2)) `

B

`(pi)/(2)`

C

` (pi)/(2sqrt(2))`

D

`(3 pi)/(2 sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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