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Q.

If y=(sinx+cosecx)2+(cosx+secx)2 then min value of y=

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a

7

b

3

c

9

d

0

answer is C.

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Detailed Solution

y=sin2x+cosec2x+2+cos2x+sec2x+2=5+cosec2x+sec2x=5+2+tan2x+cot2x=7+(tanx-cotx)2+2≥9ymin=9
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