MATH 1310

MA1310: Module 3 Graphs of Other Trigonometric Functions Exercise 3.1 Graphs of Inverse Trigonometric Functions 1 The purpose of this assessment is to help you determine whether you have a clear understanding of graphs of inverse trigonometric functions. 1. Using the triangle above, find the exact value of the following: a. sin (θ) b. cos (θ) c. tan (θ) d. cot (θ) e. sec (θ) 2. Evaluate the following: sin (sin–1 (1/2) + sin–1 (5/13)). 3. Using the results for question 1 above, let x = 12 and y = 9. Evaluate sin (θ) – tan (θ). 4. Find the angle of elevation from the point on the ground 100 feet from the base of a building that is 250 feet tall. 5. Find the following: a. sin – 1(sin(3π/4)) b. cos – 1(cos(5π/4)) c. sin – 1(sin(π/4)) d. cos – 1(cos(π/6)) e. For the results in a, b, c, and d, where the inverse cannot be directly applied, explain why this is so. Submission Requirements: Submit your response in a Microsoft Word document of the following specifications:  Font: Arial; Point 12  Spacing: Double X y θ MA1310: Module 3 Graphs of Other Trigonometric Functions Exercise 3.1 Graphs of Inverse Trigonometric Functions 2 Evaluation Criteria: Your submission will be evaluated against the following criteria:  Did you include appropriate steps to determine the answers to questions, wherever required?  Did you submit your answers in an organized fashion that was legible and easy to follow?  Did you correctly answer each question?