Given the Value of Cotangent on the Unit Circle Find the Angle Measurement

The video tutorial explains the relationship between cotangent and tangent, using the unit circle to illustrate key points. It demonstrates how to solve for angles where cotangent equals sqrt(3)/3, and provides detailed calculations for tangent and cotangent. The tutorial emphasizes the importance of understanding these trigonometric concepts and practicing problem-solving techniques.

What is the relationship between cotangent and tangent?

• Cotangent is the difference between sine and cosine

• Cotangent is the sum of sine and cosine

• Cotangent is the reciprocal of tangent

• Cotangent is the square of tangent

Which of the following points is on the unit circle?

• (1, 0)

• (1/2, sqrt(3)/2)

• (sqrt(3)/2, 1/2)

• (0, 1)

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

• Y over X

• Y coordinate

• X coordinate

• X over Y

What is the cotangent of an angle if the coordinates are (1/2, sqrt(3)/2)?

• sqrt(3)/3

• 1/sqrt(3)

• sqrt(3)

• 1

If cotangent of an angle is sqrt(3)/3, what is the tangent of that angle?

• 1/sqrt(3)

• 3/sqrt(3)

• 1

• sqrt(3)

What happens when you rationalize the denominator of 3/sqrt(3)?

• You get sqrt(3)

• You get 0

• You get 3

• You get 1

Which trigonometric function is represented by the ratio X/Y?

• Sine

• Cosine

• Tangent

• Cotangent