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Graphs Dealing with Sine and Cosine Problems

Answer Keys Here

Aligned To Common Core Standard:

High School Geometry - HSG-SRT.D.10

What Are the Characteristics of Graphs of Sine and Cosine Functions? Recall that the sine and cosine function relating to real number values to the two coordinates x and y to the point of the unit circle. So how would they look like on a coordinate plane graph? Let's start with the basic sine functions. We can create a values table and using them for sketching a graph. Plotting points from the table in a continuous manner along the x-axis gives the shape of the sine function. You can see how the sine values on the graph above have values between 0 and pie. These values correspond to the value of the sine functions lying within the quadrants 1 and 2 of the unit circle. The sine values are negative between pie and 2pie, corresponding to the sine function values in the 3rd and 4th quadrant on the circle. These worksheets and lessons help students learn how to read and interpret graphs that include the sine and cosine functions.

Printable Worksheets And Lessons

Homework Sheets

We used a slight blue tinted background to allow the graph to print well in all formats.

  • Homework 1 - Each equation is graphed separately. I like to pick fixed values for x and then determine the value of y.
  • Homework 2 - The graphs have a fixed frequency that is simple to detect.
  • Homework 3 - On, the same set of axis from -10 to 10, graph y = -2sin (ℼ / 2*x) and y = -6cos(ℼ * x)

Practice Worksheets

Lots of graphs for you to make.

  • Practice 1 - Try to see if the wave length fits on this problem.
  • Practice 2 - Some of the waves are huge and others are short.
  • Practice 3 - Don't go too big on these problems.

Math Skill Quizzes

We start to ask you for the equation of the graph.

  • Quiz 1 - Determine the equation for graph.
  • Quiz 2 - Start by picking two points and finding where x is a fixed whole number.
  • Quiz 3 - The y-intercept is easy. At what value of y (point) does it hit the y-axis?