The solution of `(3sintheta-sin3theta)/(1+costheta)+(3costheta+cos3theta)/(1-sintheta)=4sqrt(2)cos(theta+pi/4)`

Find the number of solution of the equation (2sintheta-sin3theta)/(1+costheta)+(3costheta+cos3theta)/(1-sintheta)=4sqrt(2)cos(theta+(pi)/(4)) in the interval (-10pi,8pi].

(sintheta+sin 2theta)/(1+costheta+cos2theta)=

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

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

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

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

(sin3theta-cos3theta)/(sintheta+costheta)+1 =

(3costheta+cos3theta)/(3sintheta-sin3theta)=

(cos^(3)theta-cos3theta)/(costheta)+(sin^(3)theta+sin3theta)/(sintheta)=