Solve `sin x + sqrt(3) cos x = sqrt(2)`

If cos (pi/12) = (sqrt(2) + sqrt(6))/(4) , then all x in (0,pi/2) such that (sqrt(3)-1)/(sin x) + (sqrt(3)+1)/(cos x) = 4sqrt(2) , then find x.

sin x + cos x = sqrt (2) cos A

sqrt(3)cos x-sin x=1

Solve: cos 3x + sqrt3 sin 3x + sqrt2 lt 0 .

Solve the equation sqrt(3)cos x+sin x=sqrt(2)

solve sin x+2cos x=sqrt(5)

2sin^(2)x+sqrt(3)cos x+1=0

Solve 8sin x=(sqrt(3))/(cos x)+(1)/(sin x)

solve sqrt(3)cos theta+sin theta=sqrt(2)