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The most general value of theta for whic...

The most general value of `theta` for which
`"sin" theta-"cos" theta = underset(x in R)("min")[1, x^(2)-4x+6]` are given by

A

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

B

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

C

`theta = 2 n pi + (pi)/(4), n in Z`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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