Composition of cosine inverse and tangent

The video tutorial explains how to determine the cosine inverse of negative values, focusing on -1/2. It highlights the importance of understanding the unit circle and reference angles, specifically π/3 and 2π/3. The tutorial also covers calculating the tangent of 2π/3 and emphasizes the need for practice and showing work in quizzes.

In which quadrants is the cosine value negative?

• 2nd and 3rd quadrants

• 1st and 2nd quadrants

• 3rd and 4th quadrants

• 1st and 4th quadrants

What is the reference angle for a cosine value of -1/2?

• π/3

• π/2

• π/4

• π/6

What is the angle in radians for a cosine value of -1/2 in the unit circle?

• 3π/4

• 2π/3

• π

• π/2

How is the tangent of an angle calculated using the unit circle?

• X coordinate over Y coordinate

• Y coordinate over X coordinate

• Sum of X and Y coordinates

• Difference of X and Y coordinates

What is the simplified tangent value of 2π/3?

• 0

• 1

• √3

• 1/√3