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For 0 lt x lt (pi)/(2), let P(mn)(x)=m l...

For `0 lt x lt (pi)/(2)`, let `P_(mn)(x)=m log_(cos x) ( sin x)+ n log_(cos x)(cotx)` ,
where `m, n in {1, 2,...,9}`
[For example: `P_(29)(x)=2log_(cosx)(sinx)+9log_(cos x)( cot x)` and
`" " P_(77)(x)=7 log_(cos x)(sin x)+(7 log_(cos x) ( cot x) `]
On the basis of above information, answer the following questions :
If `P_(34)(x)=P_(22)(x)`, then the value of sin x is expressed as `((sqrt(q)-1)/(p))`, then (p+q) equals

A

3

B

4

C

7

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
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