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If y=(sinx+cosecx)^2+(cosx+secx)^2 then ...

If `y=(sinx+cosecx)^2+(cosx+secx)^2` then the minimum value of `y,AAx in R`, is

A

7

B

3

C

9

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
`y=(sin^2x-cos^2x0+2(sinxcosecx+cosxsecx)+sec^2x+cosec^2x`
`=5+2+tan^2x+cot^2x`
`=7+(tanx-cotx)^2+2`
`:. t_("min")=9`
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