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General solution of the equation : sinx ...

General solution of the equation : `sinx + cos x= min_(aepsilonR) {1,a^2-4a+6}` is :

A

`(npi)/(2)+(-1)^(n)(pi)/(4),n in Z`

B

`2npi+(-1)^(n)(pi)/(4), n in Z`

C

`npi+(-1)^(n+1)(pi)/(4), n in Z`

D

`npi+(-1)^(n)(pi)/(4)-(pi)/(4), n in Z`

Text Solution

Verified by Experts

The correct Answer is:
D
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