Trigonometric Functions Warm-Up and Homework Questions
Practice identifying transformations, graphing trig functions, finding periods, key points, and writing equations based on graphs. Get ready for a Trigonometric Functions test with a thorough warm-up and homework questions.
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I can write trig functions from a graph Warm Up 1. Identify the transformation a) ? = ???? ?? + ? ? b) ? = ???? ? ?? ? + ? ? 2. Graph on your calculator: ? = ???? ? = ????
Warm Up 1. Identify the transformation a) ? = ???? ?? + ? ? ? ?? ? b) ? = ???? + ? ?
Warm Up 2. Graph on your calculator: ? = ????? = ????
Identify b or the period for each equation: 1) Period of 90 2) ? = 3 (in radians) 3) Period of 6? 5 4) ? = 120 (in degrees) ? = 4 2? 3 ? = 5/3 3
Identify the key points on the graph 2 0 45 90 135 180 -2
Write an equation that matches the graph 2 0 45 90 135 180 -2
Identify the key points on the graph (???,?) (???, ?)
Write an equation that matches the graph (???,?) (???, ?)
Identify the key points on the graph ? ??? ??? ? ??? ?
Write an equation that matches the graph ? ??? ??? ? ??? ?
Quiz Thursday: AA5a Unit Circle AA5b Modeling Functions AA5 Trigonometric Functions Test: Friday, March 6 Deadline for all AA5 Homework: Friday, March 6
The model for the height of a light on a Ferris Wheel is ? = 20 19sin(120?) where H is the height in meters above the ground, t is in minutes. 1. Where is the light at time t=0? 2. How long does the wheel take to complete one revolution? 3. At what time was the light at its lowest in the first revolution of the wheel? 4. Sketch the graph of the h(t) function over one revolution.
39 20 1 1.5 2.25 .75 3
The height h(t) meters of the tide above sea level on is modeled approximately by ? = 3sin(30?) where t is the number of hours after midnight. 1. Graph for ? = 3sin(30?) 2. When was high tide and what was the maximum height? 3. What was the height at 2pm? 4. If a ship can cross the harbor provided the tide is at least 2m above mean sea level, when is crossing possible on January 24?
? = ?? ? = ? ? ?.? ? ?? = ???? ?? ?? ? ?? = ?.??
Homework Water Buffalo Problem
