Solve the cosine equation from zero to 2pi and all solutions

The video tutorial explains how to isolate the cosine of Theta using inverse operations and explores solutions using the unit circle and graph analysis. It covers finding solutions within specific intervals and extends to finding all possible solutions without restrictions, using set notation and considering both positive and negative directions.

What is the first step in isolating cosine of Theta when there is only one instance of it?

• Subtract sqrt 3 from both sides

• Use the inverse cosine function

• Add sqrt 3 to both sides

• Multiply by 2

When solving for cosine of Theta on the unit circle, what is the solution for the interval 0 to π?

• π/2

• π/3

• π/4

• π/6

Which notation is used to represent multiple solutions on the unit circle?

• Set notation

• Matrix notation

• Interval notation

• Graphical notation

How do you express all solutions for cosine of Theta without restrictions?

• Using π/2 + 2πN

• Using π/3 + 2πN

• Using π/4 + 2πN

• Using π/6 + 2πN

What does the variable N represent in the general solution for cosine of Theta?

• A constant value

• A positive integer

• An integer that can be positive or negative

• A negative integer