Directions and Analysis

Task 1: Inverse Trigonometric Functions

The function used to convert temperature from Celsius to Fahrenheit is a one-to-one function, so its inverse function exists and can be used to convert temperature in Fahrenheit back to Celsius. We can use a trigonometric function to convert angles into values. In this task, you will find the inverse of a trigonometric function to convert values into angles.

1. Use the Edmentum Graphing Tool to graph the function . Capture a screenshot of your graph, and paste it in the space provided.

1. If you derive a y-value by taking the sine of an x-value, can you identify the x-value corresponding to that y-value by looking at the graph? Justify your answer.

1. Explain how the graph shows that this function does not have an inverse function.

1. Identify the domain and range of the function.

1. Graph the function. Capture a screenshot of your graph, and paste it in the space provided.

1. If you derive a y-value by taking the cosine of an x-value, can you identify the x-value corresponding to that y-value by looking at the graph? Justify your answer.

1. Explain how the graph shows that this function does not have an inverse function.

1. Identify the domain and range of the function.

1. Graph the function. Capture a screenshot of your graph, and paste it in the space provided.

1. If you derive a y-value by taking the tangent of an x-value, can you identify the x-value corresponding to that y-value by looking at the graph? Justify your answer

1. Explain how the graph shows that this function does not have an inverse function.

1. Identify the domain and range of the function.