Determine Theta when Given the Value of Cotangent, Cotθ=Coot(3)/3

The video tutorial explains the concept of cotangent in trigonometry, focusing on its representation as X/Y on the unit circle. It highlights the importance of understanding cotangent and tangent relationships, especially within the first quadrant of the unit circle. The tutorial walks through calculating cotangent values for specific angles, such as π/6, π/4, and π/3, and emphasizes the need to multiply by the reciprocal to simplify fractions. The goal is to identify which angle results in a cotangent value of sqrt(3)/3, concluding that the answer is π/3 or 60 degrees.

What does the cotangent represent on the unit circle?

• Y-X

• X/Y

• Y/X

• X+Y

Which point on the unit circle corresponds to π/6?

• (1/2, sqrt(3)/2)

• (sqrt(3)/2, 1/2)

• (1, 0)

• (sqrt(2)/2, sqrt(2)/2)

For which angle does the cotangent equal sqrt(3)/3?

• π/6

• π/4

• π/3

• π/2

What is the result of multiplying by the reciprocal when simplifying fractions?

• It inverts the fraction

• It squares the fraction

• It doubles the fraction

• It halves the fraction

When does the cotangent or tangent equal 1 or -1?

• At π/6

• At π/2

• At π/4

• At π/3