Evaluate the six trigonometric functions for the given real number

The video tutorial explains how to evaluate the six trigonometric functions for the angle 17π/6. It covers graphing the angle on the unit circle, finding coterminal angles, and determining the coordinates on the unit circle. The tutorial also demonstrates how to evaluate sine, cosine, tangent, and their reciprocal functions using these coordinates.

What is the coterminal angle of 17π/6 when simplified by subtracting 2π?

• 3π/6

• 5π/6

• 9π/6

• 7π/6

In which quadrant does the angle 5π/6 lie on the unit circle?

• First Quadrant

• Second Quadrant

• Third Quadrant

• Fourth Quadrant

What are the coordinates of the point corresponding to the angle 5π/6 on the unit circle?

• (-1/2, sqrt(3)/2)

• (1/2, sqrt(3)/2)

• (sqrt(3)/2, 1/2)

• (-sqrt(3)/2, 1/2)

How do you calculate the sine of the angle 5π/6?

• Using the X coordinate

• Using the secant

• Using the Y coordinate

• Using the tangent

What is the value of the tangent of the angle 5π/6?

• -sqrt(3)

• sqrt(3)/3

• -1/sqrt(3)

• 1/sqrt(3)