How to evaluate the composition of tangent inverse and cotangent

The video tutorial explains how to find the cotangent of a negative angle using the unit circle. It covers the calculation of cotangent by dividing the x-coordinate by the y-coordinate and determining its sign based on the quadrant. The tutorial then demonstrates how to find the angle using the inverse tangent function, ensuring the angle remains in the first quadrant. The process involves understanding coordinate points and their relationships in trigonometry.

What is the equivalent positive angle of -5π/3 on the unit circle?

• 5π/6

• π/3

• 2π/3

• π/6

What are the coordinates of the point on the unit circle for the angle π/3?

• (1/2, sqrt(3)/2)

• (sqrt(3)/2, 1/2)

• (-1/2, sqrt(3)/2)

• (sqrt(3)/2, -1/2)

How do you calculate the cotangent of an angle using its coordinates on the unit circle?

• Divide the y-coordinate by the x-coordinate

• Subtract the y-coordinate from the x-coordinate

• Multiply the x-coordinate by the y-coordinate

• Divide the x-coordinate by the y-coordinate

In which quadrant is the cotangent positive?

• Second quadrant

• Third quadrant

• Fourth quadrant

• First quadrant

What is the angle where the inverse tangent of sqrt(3)/3 is found in the first quadrant?

• π/2

• π/6

• π/3

• π/4