exercise_3.1

exercise_3.1 - MA1310 Module 3 Trigonometric Functions...

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MA1310: Module 3 Trigonometric Functions Exercise 3.1 Graphs of Sine and Cosine Functions 1 Trigonometric functions are used to model data and a variety of physical phenomena such as astronomy, surveying, highway design, GPS, and aerial photography. Refer to the handout titled Basics of Trigonometry ” given at the end of the study guide, and answer the following questions to complete this exercise: 1. Find the exact value of: a. sin 300° b. tan (405°) (Hint: 405° = 360° + 45°) c. 13 13 cot Hint: 4 3 3 3    2. If sin θ < 0 and tan θ < 0, then in which quadrant does θ lie? 3. Find the exact value of sin θ, if 4 cos 5 and θ lies in quadrant IV. 4. Define the following for a sinusoidal graph in general. a. Amplitude b. Period c. Phase Shift 5. Given the function 3 sin 2 y x a. Find the amplitude. b. Find the period. 6. Identify the correct graph from the following choices:

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