The invention discloses an anti-tangent, cotangent, secant and cosecant function demonstrating and
graph drawing instrument which is made according to a rectangular coordinate definition of an anti-trigonometric function and by combining pushing-turning principles with slider-connecting rod characteristics. The instrument comprises a support, a demonstrating device, a drawing mechanism and a
drawing board, the demonstrating device is mounted on a lower slideway and an upper slideway of uprights, and the drawing mechanism is connected with the uprights, the lower slideway, the upper slideway and a guide rod, and connected with the demonstrating device through a soft
rope and a pull rod. The above components are combined by adopting different
assembly modes, anti-tangent, cotangent, secant and cosecant function relations can be demonstrated visually by only pushing a
handle on the push rod, continuous and accurate function graphs can be drawn on the
drawing board, paper or any fixed planes, and type forms of anti-tangent, cotangent, secant and cosecant can be demonstrated while corresponding graphs can be drawn. The drawing instrument can be used in a classroom, a drawing room, a construction site and a self-study place for students and is high in drawing efficiency, clear and accurate in graph, simple to operate, convenient to carry and complete in function.