Solving a trigonometric equation with cosine equal to negative one

The video tutorial explains how to evaluate the cosine of Theta when it equals -1. It begins by identifying key points on the unit circle and their coordinates. The tutorial then determines the angle for which cosine equals -1, specifically π, and explores all possible solutions, including general solutions expressed as π plus 2πR, where R is a variable representing the number of rotations around the circle. The video concludes with a summary of the process.

What is the x-coordinate on the unit circle when the cosine of theta equals -1?

• 0

• 1

• -1

• π

Which angle between 0 and 2π has a cosine value of -1?

• 2π

• π

• 0

• π/2

If you are asked to find all solutions for cosine of theta equals -1, what would be the general form?

• π + 2πR

• π/2 + 2πR

• 2π + πR

• 0 + πR

What does the variable R represent in the general solution π + 2πR?

• The x-coordinate on the unit circle

• The angle in radians

• The number of times the angle is repeated

• The radius of the unit circle

Why is the solution for cosine of theta equals -1 considered indefinite?

• Because it only occurs at one point

• Because it can be repeated infinitely by adding multiples of 2π

• Because it is not a real number

• Because it is not on the unit circle