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

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

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

Solve x=sqrt(3x+4)

Solve 7cos^2theta+3sin^2theta=4

If 3cottheta=1 , then find the value of (3costheta-4sintheta)/(5sintheta+4costheta) .

Solve sin2theta+costheta=0

Solve 4costheta-3sectheta=tantheta

theta is acute angle between the lines x^(2)-xy-6y^(2)=0 , then (2costheta+3sintheta)/(4sintheta+5costheta) is

(sintheta+sin2theta)/(1+costheta+cos2theta)