Sections:

Transformations of Trigonometric Functions, Page 11

Homework 1

20 points

Complete your homework and submit it to your instructor.

You will graph problems and write equations of trigonometric functions, given different amplitudes and periods.

Make sure to show all your work. 

1. Graph f(x) = 2 sin(2/3 x). Find the amplitude and period of the function.

2. Graph f(x) = -1/3 cos(4x). Find the amplitude and period of the function.

3. Graph f(x) = tan(1/2 x). Find the amplitude and period of the function. 

4. Write the equation of the sine function with an amplitude of one-ninth and a period of 3 pi

5. Write the equation of the cosine function with an amplitude of 2 and period of 3pi/5.