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# MA1310: Module 3 Trigonometric Functions Exercise 3.2 Other Trigonometric Functions 1 Answer the following questions to complete this exercise:

MA1310: Module 3 Trigonometric Functions Exercise 3.2 Other Trigonometric Functions 1 Answer the following questions to complete this exercise: 1. The graph of a tangent function is given below. Find the equation of the graph in the form y = A tan (Bx – C). a. Find A. The y-coordinate of the points on the graph 1 4 and 3 4 of the way between the consecutive asymptotes are given by –1 and 1 respectively. b. Find the period of the function (distance between two consecutive asymptotes). c. Find the coefficient of x, that is, B. d. Find the phase shift of the function (horizontal shift). e. Find the value of C. f. What is the correct equation of the given graph? Provide reasons. i. tan 2 y x          ii. y x   tan   iii. y x    tan   iv. tan 2 y x           2   2    4 4 x y MA1310: Module 3 Trigonometric Functions Exercise 3.2 Other Trigonometric Functions 2 2. Find the exact value of: a. 1 3 sin 2  b. 1 3 cos 2           c. 1 tan 1 ( )   d. 1 4 cos cos 3         e. 1 7 sin tan 24        3. Use the calculator to find the value of sin–1 0.47 to two decimal places. 4. Find the angle of elevation from the point on the ground 90 feet from the base of a building that is 200 feet tall. Submission Requirements: Submit your response in a Microsoft Word document of the following specifications:  Font: Arial; Point 12  Spacing: Double Evaluation Criteria:  Did you show the appropriate steps to solve the given problems?  Did you support your answer with appropriate rationale wherever applicable?  Were the answers submitted in an organized fashion that was legible and easy to follow?  Were the answers correct?

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