unit 9: TRIGONOMETRIC FUNCTIONS
- In this unit students will:
- Expand their understanding of angle with the concept of a rotation angle
- Explore the definition of radian
- Define angles in standard position and consider them in relationship to the unit circle
- Make connections to see how a real number is connected to the radian measure of an angle in standard position which is connected to an intercepted arc on the unit circle which is connected to a terminal point of this arc whose coordinates are connected to the sine and cosine functions
- Gain a better understanding of the unit circle and its connection to trigonometric functions. Develop an understanding of the graphs of the sine and cosine functions and learn to recognize the basic characteristics of their graphs
- Realize transformations of y = sin (x) and y = cos (x) behave just as transformations of other parent functions
- Learn that the concepts of amplitude, midline, frequency, and period are related to the transformations of trigonometric functions
- Learn how to look at a graph of a transformed sine or cosine function and to write a function to represent that graph explore several real-world settings and represent the situation with a trigonometric function that can be used to answer questions about the situation.
- Develop and use the Pythagorean identity is developed and used to solve problems