If sin(sin x + cos x) = cos (cos x - sin...

If `sin(sin x + cos x) = cos (cos x - sin x)` then the largest possible value of sin x is

A

`(1)/(sqrt(2))`

B

1

C

`sqrt(16 - pi^(2))/(4)`

D

`(pi)/(4)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

int sin x sin (cos x) dx

If sin^(3) x + sin x .cos x + cos^(3) x = 1 then x =

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

If sin x + cos x =a then |sin x - cos x|=

If sin^(3) x cos 3x + cos^(3) x sin 3x = 3//8 , then the value of 8 sin 4x is ____________.

If sqrt(sin x)+ cos x = 0 then sin x =

If sin x - 3 sin 2x + sin 3x = cos x - 3 cos 2x + cos 3x then x =

(sin 3x + sin x ) sin x + (cos 3x - cos x) cos x =0

If sin^3 x cos 3x + cos^3 x sin 3x = 3//8 , then the value of 8 sin 4x is ............