Understanding Cosine Values on the Unit Circle

The video tutorial explains the values of theta for which the cosine of theta equals one or negative one, using a graph and the unit circle definition. It describes how cosine equals one at multiples of 2π and negative one at odd multiples of π. The instructor uses the unit circle to illustrate these concepts, emphasizing the periodic nature of the cosine function.

What is the main question addressed in the video regarding the cosine function?

• For what values of theta does cosine equal one or negative one

• How to find the sine of theta

• How to graph the sine function

• What is the derivative of cosine

What does the x-coordinate represent on the unit circle?

• The secant of theta

• The tangent of theta

• The sine of theta

• The cosine of theta

What is the significance of the unit circle in understanding cosine values?

• It helps find sine values

• It shows the relationship between angles and cosine values

• It is used to calculate tangent

• It is irrelevant to cosine

At which angle does the cosine of theta equal one?

• Zero

• Pi

• Three pi over two

• Pi over two

What is the pattern for angles where cosine of theta equals one?

• Every pi

• Every two pi

• Every three pi

• Every four pi

At which angle does the cosine of theta equal negative one?

• Four pi

• Zero

• Pi

• Two pi

What is the pattern for angles where cosine of theta equals negative one?

• Every two pi

• Every pi

• Every three pi

• Every four pi

How often does the cosine function repeat its values?

• Every pi

• Every two pi

• Every three pi

• Every four pi

What is the interval between peaks in the cosine graph?

• Pi

• Four pi

• Two pi

• Three pi

What is the interval between valleys in the cosine graph?

• Pi

• Two pi

• Three pi

• Four pi