Yes, I agree that the work of Taylor and Fayol are essentially complementary. They both focused on maintaining good industrial relations. They gave solutions of managerial problems. They presented a systematic study on management. Both of them developed their ideas, thoughts and principles after a thorough analysis and experimentation.
Following are the reasons:
(i) The aim of both Taylor and Fayol, is to maximize the efficiency and achieve the aims.
(ii) Taylor and Fayol both advocated on division of work and responsibility.
(iii) Both of them have contributed immensely to the knowledge of management.