यहाँ L.H.S. `=(sin ^(3)theta+cos ^(3)theta)/(sin theta+cos theta)+sin thetacos theta`
`=((sin theta+cos theta)(sin ^(2)theta+cos ^(2)theta-sin theta cos theta))/((sin thetacos theta))+sin theta cos theta`
`=1-sin theta cos theta+sin theta cos theta =1=`R.H.S