Cosine Videos

Professor Edward Burger explains graphing sine and cosine functions with phase shifts in this video from Thinkwell's online Algebra series.

Professor Edward Burger explains graphing sine or cosine functions with different coefficients in this video from Thinkwell's online Algebra series.

Professor Edward Burger explains an introduction to the graphs of sine and cosine functions in this video from Thinkwell's online Algebra series.

Professor Edward Burger explains solving word problems involving sine or cosine functions in this video from Thinkwell's online Algebra series.

When a position in space is fixed, the sine and cosine functions circle that point, the angle depending on the exact values of x, y, and z. Sines and cosines have to do with circles. By fixing x, y, and z, the circle stays fixed. What direction the line in space points to is arbitrary. The line in yellow is the input for the The length of the line in space is the amplitude.

When the input never moves in space, the output of oscillating points is easier to understand. Each of these sets of events starts out pointing in a different direction. Yet the x, y, and z values of the input is never altered. This is why you can spot the spatial origin, the point in the center of all the moving points. It would be simple enough to shift these arbitrary oscillators around precisely the origin to arbitrary oscillators around arbitrary points - just add in an arbitrary value as a last step.

Over long periods of time with smaller changes in space, sine and cosine functions make spirals. In classical physics, the amount of change in time measured in the same units as space vastly exceeds changes in space. In other words, relativistic velocities are low. In these animations, time changes by 100 while changes in space are only 20.

To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn to find the missing side lengths and the missing angle measures in right triangles using sine, cosine, and tangent. Note that a scientific or graphing calculator is required for the problems in this lesson.

To access the complete lesson on this topic, go to www.yourteacher.com. Students learn that the sine of an angle of a right triangle is equal to the length of the side opposite the angle over the length of the hypotenuse (SOH), the cosine of an angle of a right triangle is equal to the length of the side adjacent to the angle over the length of the hypotenuse (CAH), and the tangent of an angle of a right triangle is equal to the length of the side opposite the angle over the length of the side adjacent to the angle (TOA). Students are then asked to find the values of the sine, cosine, and tangent of given angles in given right triangles.

lesson - what is the cosine ratio? plus an example