original: trigonometric functions are important in the study of triangles and modeling periodic phenomena , among many other applications .
simplifications: trigonometric functions are important in the study of triangles and modeling periodic phenomena , among many other applications . trigonometric functions are important in many ways , one of which , the study of triangles and modeling periodic phenomena . trigonometric functions are important in the study of triangles , modeling periodic phenomena , and similar uses . trigonometric functions are significant in the study of triangles and modeling periodic phenomena , among many other applications . trigonometric functions are important in the study of triangles and modeling periodic phenomena , and also have many other functions . trigonometric functions are important in the study of triangles and modeling periodic phenomena , among many other applications . trionometric functions are used when looking at triangles and and repeating patterns , and have other uses . among all the applications , the trigonometric functions are very important in the study of triangles and modeling periodic phenomena .