Cotangent and Tangent Relationships

The video tutorial explains the concept of cotangent and its reciprocal relationship with tangent. It uses the unit circle to identify angles where cotangent equals one, focusing on the coordinates of specific points. The tutorial concludes by determining that cotangent equals one at 45 degrees, or pi over four, using the x/y coordinate method.

What is the relationship between cotangent and tangent?

• Cotangent is the difference between tangent and cosine

• Cotangent is the sum of tangent and sine

• Cotangent is the reciprocal of tangent

• Cotangent is the square of tangent

Which of the following is a reciprocal identity involving cotangent?

• Cotangent of theta equals tangent of theta

• Cotangent of theta equals sine of theta

• Cotangent of theta equals cosine of theta

• Cotangent of theta equals one over tangent of theta

What are the coordinates of the point at 45 degrees on the unit circle?

• Square root of 3 over 2, 1/2

• Radical 2 over 2, radical 2 over 2

• 0, 1

• 1/2, square root of 3 over 2

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

• x over y

• y over x

• x plus y

• x minus y

When does the cotangent of an angle equal one?

• When x equals y

• When x is half of y

• When x is twice y

• When x is zero

Why is 90 degrees not a solution for cotangent equals one?

• Because the coordinates are 1, 0

• Because the coordinates are 0, 0

• Because the coordinates are 0, 1

• Because the coordinates are 1, 1

At what angle does cotangent equal one?

• 90 degrees

• 45 degrees

• 60 degrees

• 30 degrees