The most general values of 'x' for which...

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

A

`2 n pi `

B

`2 n pi +(pi)/(2)`

C

`n pi +(-1)^(n)(pi)/(4)-(pi)/(4)`

D

None of these

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If sqrt(3) sin x - cos x ="min"_(alpha in R){2,e^(2),pi, alpha^(2)-4alpha +7} , then

x_(1) and x_(2) are two positive value of x for which 2 cos x,|cos x| and 3 sin^(2) x-2 are in GP. The minimum value of |x_(1)-x_(2)| is equal to

The minimum value of f(x)=3cos x + 4sin x is ………..

The general solution of 4sin^(4) x + cos^(4) x=1 is

The maximum value of sin x.cos x is ………….

cos 4x =1- 8 sin ^(2) x cos ^(2) x

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

For x in (-pi, pi) find the value of x for which the given equation (sqrt 3 sin x + cos x)^(sqrt(sqrt3 sin 2 x-cos 2 x+2))=4 is satisfied.

The minimum value 4^(x) + 4^(1-x), x in R is

Find the general solution of sin^3x + cos^(3)x+(3)/(2)sin 2x=1