If cosec(a-x)= 3cosec(3a+x), then tanx= Share with your friends Share 0 Ashwini Kumar answered this coseca-x=3cosec3a+x⇒sin3a+x=3sina-x⇒sin3a cosx+cos3a sinx=3sina cosx-cosa sinx⇒sin3a cosx+cos3a sinxcosx=3sina cosx-cosa sinxcosx⇒sin3a+cos3a tanx=3sina-3cosa tanx⇒cos3a tanx+3cosa tanx=3sina-sin3a⇒cos3a+3cosa tanx=3sina-sin3a⇒tanx=3sina-sin3acos3a+3cosa -1 View Full Answer