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

Solve : sqrt3costheta+sintheta=sqrt2

Solve sqrt(3)costheta-3sintheta=4sin2thetacos3thetadot

(2+sqrt(3))costheta =1 - sintheta

Solve: 4sqrt3 cos^2 theta-4 sin theta +sqrt3 = 0[0^@lethetale90^@]

Solve : sqrt3sec2theta=2

If costheta+sintheta=sqrt2costheta , Prove that costheta-sintheta=sqrt2sintheta

Prove that all lines represented by the equation (2costheta+3sintheta)x+(3costheta-5sintheta)y=5costheta-2sintheta …(1) pass through a fixed point and its reflection in the line x+y=sqrt2 ? Prove that all lines through reflection point can be represented by the equation (2costheta+3sintheta)x+(3costheta-5sintheta)y= (sqrt2-1)(5costheta-2sintheta) ....(2)

If cos theta -sin theta =sqrt(2) sin theta , show that, costheta+sintheta=sqrt(2) cos theta [0ltthetaltpi/2] .

sintheta - sqrt(3)costheta =1

Solve tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3)