sin(x-(pi)/(6))+cos(x-(pi)/(3))=sqrt(3)sin x

sin(x-pi/6)+cos(x-pi/3)=sqrt3 sinx

Prove that: cos((3 pi)/(4)+x)-cos((3 pi)/(4)-x)=sqrt(2)sin x

cos((3pi)/(4)+x)-cos ((3pi)/(4)-x)=-sqrt(2) sin x

Prove that: cos((3 pi)/(4)+x)-cos((3 pi)/(4)-x)=-sqrt(2)sin x

Prove that: cos((3 pi)/(4)+x)-cos((3 pi)/(4)-x)=-sqrt(2)sin x

Prove that cos ((3pi)/(4)+x)-cos ((3pi)/(4)-x)=-sqrt2 sin x

For which values of a does the equation 4sin(x+pi/3)cos(x-pi/6)=a^2+sqrt(3)sin2x-cos2x have solution? Find the solution for a=0.

For which values of a does the equation 4sin(x+pi/3)cos(x-pi/6)=a^2+sqrt(3)sin2x-cos2x have solution? Find the solution for a-0.

If : sin(x+(pi)/(3)) = cos (x-(pi)/(6)),"then" : tan x = A) 1//sqrt3 B) -1//sqrt3 C) sqrt3 D) -sqrt3

if f(x)=3sin(x+(pi)/(6))+cos(x-(pi)/(6)) is always less then or equal to k then k is