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.

How do you simplify the cotangent value obtained from the coordinates (1/2, sqrt(3)/2)?

Explain why the angle for tangent inverse of sqrt(3)/3 is in the first quadrant.

What is the cotangent of the angle represented by -5π/3?

What is the angle in radians when the tangent inverse of sqrt(3)/3 is calculated?

What are the coordinates corresponding to the angle π/6?