How to Find the Angle when Given the Value of Cosine

The video tutorial explains the concept of cotangent in trigonometry, focusing on its representation as the ratio of x over y on the unit circle. It identifies specific points on the unit circle where cotangent equals 1, particularly at π/4 or 45 degrees. The tutorial also explores cotangent values in other quadrants and emphasizes the importance of constraints that limit the focus to the first quadrant, highlighting the significance of understanding these constraints in solving trigonometric problems.

What is the cotangent of an angle in terms of the unit circle?

• Y over X

• Y minus X

• X over Y

• X times Y

At which angle in the first quadrant is the cotangent equal to one?

• π/6

• π/4

• π/3

• π/2

Which of the following angles has a cotangent of negative one?

• 5π/4

• 3π/4

• π/4

• π/2

Why does the cotangent of 5π/4 equal one?

• Both X and Y are negative

• Both X and Y are positive

• X is negative and Y is positive

• X is positive and Y is negative

What is the constraint for finding cotangent equal to one in this lesson?

• Between π/2 and π

• Between 0 and π/2

• Between 0 and 2π

• Between 0 and π