Solve `sqrt(3)costheta+sintheta=sqrt(2)`

sqrt(3)costheta+sintheta=2

sqrt3costheta+sin theta=sqrt2

sqrt(3)sintheta-costheta=sqrt(2)

sintheta+costheta=sqrt(2)

If costheta-sintheta=sqrt(2)sintheta , then prove that: costheta+sintheta=sqrt(2)costheta

If costheta +sin theta= sqrt(2)cos theta , then prove that costheta-sintheta =sqrt(2)sin theta

If sqrt2 costheta-sqrt6 sintheta=2sqrt2 , then the value of theta can be ___________.

If (costheta)/(1+sintheta)+(costheta)/(1-sintheta)=2sqrt(2) and theta is acute , then what is the value (in degrees ) of theta ?

If n is any integer ,then the general solution of the quation costheta-sintheta=(1)/(sqrt(2)) is

If (costheta-sintheta)/(costheta+sintheta)=(1-sqrt(3))/(1+sqrt(3)) , then find the value of theta .