Solve any one of the following `cos x+sin x=sqrt(2)`

Solve any one of the following cos x+sqrt(3) sin x=2

Solve any one of the following sin2x-sin4x+sin 6x=0

Prove any one of the following: 2 cos 11(1^@)/4=sqrt[2+sqrt(2+sqrt 2)]

Prove any one of the following : cos (pi/32)=1/2sqrt[2+sqrt{2+sqrt (2+sqrt 2)}]

Solve any one of the following sin theta+cos theta=sqrt 2

Solve any of the following equation: sqrt(2)cos theta+1=0

Solve any one of the following inequations and indicate the solution set on the real line. (4x+3)/(2x-x)<6

Solve any one of the following inequations and indicate the solution set on the real line. 2(3-x)gex/5+4

Prove any one of the following: (sin 5A-2sin 3A+sin A)/(cos 5A-cos A)=tan A

Solve any one of the following tan theta+cot theta=2