6/10/22, 8:56 AM Trigonometric Differentiation and Applications Unit Assignment Listen out of 40 Trigonometric Differentiation and Applications Unit Assignment You may choose to complete your mathematical calculations by hand and scan or take images to upload to the dropbox. To help your teacher review your work, please try to submit your calculations as a single file document (preferably as a pdf). If you aren't sure how to do this, please contact your teacher for assistance. Important When answering questions in a mathematics course always be sure to use the following guidelines to help you do your best: . Provide full solutions, showing all of your steps. . Make sure that there is one step or idea per line. . Use one equal sign per line. . Make sure that equal signs line up vertically. . Don't use self-developed short form notations. 1. Find the derivatives of each of these functions. (4 marks each) a. y = (x4 + csc(a)) b. y = sec(4a) sin(z) c. y = csc (V3x2 + 1) cos?(z) d. y = In(3x-+4) https://Ims.virtualhighschool.com/d21/le/enhancedSequence Viewer/64966?url=https%3A%2F%2F7373ce8e-81ce-4ff2-abda-d683ec1978f.sequences.api.brightspace.... 1/2aria/22,2156 AM mgomm Dicnndm'un and Application Unit Assignment 2. Use the process of implicit differentiation to find % given that sin(4a:) + sin(2y) = 1. (4 marks) 3. Including all steps, charts, and derivations details, use the curve sketching methods to sketch the graph of the given function on the interval -21r g :2 S 21r . (4 marks) cos 27, y_ ( ) _ 3 2mm) SN\") 605(1) atz = %.(6marks) 4. Find the equation of the tangent to the curve 11 = 5. The movement of the crest of a wave is modelled with the function h(t) = 0. 2 cos(4t) + 0. 351n(5t). Find the maximum height of the wave and the time at which it occurs. (6 marks) 6. Determine the 19m derivative of the function y = sin(m). Fully explain the process you used to determine this. (4 marks) Submit this assignment to the dropbox, This assignment will be evaluated for a grade that will contribute to your overall final grade in this course. hllpsd/lmnvimnlhiyschoolcum/le/ldcnhanmdsquViewer/mmhhnps%3A%2F%2F7373ed>3lee-Alibdn-dlmeclWELSQqncnuxJpxbghtspmcm, 2/2