Given the Value of Cotangent Find the Angle Measurement

The video tutorial explores the concept of cotangent, focusing on when cotangent equals one. It begins with an introduction to cotangent and its reciprocal relationship with tangent. The instructor uses the unit circle to identify points where cotangent equals one, emphasizing the reciprocal identities. The tutorial concludes by determining that cotangent equals one at 45 degrees or π/4 radians, summarizing the key findings.

What is the relationship between cotangent and tangent?

• Cotangent is the square of tangent.

• Cotangent is the reciprocal of tangent.

• Cotangent is the sum of tangent and sine.

• Cotangent is the difference between tangent and cosine.

Which of the following points on the unit circle corresponds to 45 degrees?

• (0, 1)

• (sqrt(2)/2, sqrt(2)/2)

• (sqrt(3)/2, 1/2)

• (1/2, sqrt(3)/2)

How is tangent represented in terms of coordinates on the unit circle?

• x/y

• y/x

• x+y

• x-y

At which angle does cotangent equal one?

• 90 degrees

• 30 degrees

• 45 degrees

• 60 degrees

What are the coordinates of the point where cotangent equals one?

• (1/2, sqrt(3)/2)

• (sqrt(2)/2, sqrt(2)/2)

• (0, 1)

• (1, 0)