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General solution of sinx+cosx=underset(a...

General solution of `sinx+cosx=underset(a in R)("min"){1,a^(2)-4a+6}` is

A

`(n pi )/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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