Evaluate the inverse trig function within a composition

The video tutorial guides students through evaluating the tan inverse of negative sqrt(3)/3. It begins with identifying the coordinate point that corresponds to this value, followed by determining the related angle on the unit circle. The tutorial emphasizes the constraints of tangent functions and calculates the cosine of the angle. Finally, it offers tips for solving similar problems, highlighting the importance of understanding coordinate points and angle relationships.

What is the first step in evaluating the inverse tangent of a negative value?

• Determine the quadrant of the angle

• Calculate the sine of the angle

• Identify the corresponding coordinate point

• Find the reference angle

Which angle on the unit circle corresponds to a reference angle of π/6?

• π/2

• π/3

• π/4

• -π/6

What is the significance of the reference angle in determining the angle on the unit circle?

• It is used to calculate the tangent

• It determines the sign of the angle

• It helps in finding the sine value

• It helps in identifying the correct angle

What is the cosine of the angle -π/6?

• √3/2

• 1/2

• -√3/2

• -1/2

In which quadrant is the cosine positive?

• Third and Fourth

• First and Second

• Second and Third

• First and Fourth