Evaluating Trigonometric Functions

The video tutorial explains how to evaluate the six trigonometric functions for two angles, pi/6 and -5pi/6, using the unit circle. It covers the identification of angle intersections on the unit circle and the calculation of sine, cosine, tangent, cosecant, secant, and cotangent for these angles. The tutorial also discusses the process of rationalizing denominators and the relationships between the trigonometric functions.

What are the two angles discussed for evaluating trigonometric functions?

• Pi/4 and -5Pi/4

• Pi/2 and -5Pi/2

• Pi/3 and -5Pi/3

• Pi/6 and -5Pi/6

How is the unit circle divided to evaluate the angles?

• Into 8 parts

• Into 6 parts

• Into 12 parts

• Into 4 parts

What is the sine of Pi/6?

• 1

• 1/2

• Square root of 3/2

• Square root of 2/2

What is the cosine of Pi/6?

• 1/2

• Square root of 3/2

• Square root of 2/2

• 0

What is the tangent of Pi/6?

• 0

• Square root of 3/3

• 1

• Square root of 3

How does a negative angle affect its position on the unit circle?

• It moves counterclockwise

• It doubles the angle

• It stays the same

• It moves clockwise

What is the sine of -5Pi/6?

• 1/2

• -1/2

• -Square root of 3/2

• Square root of 3/2

What is the cosine of -5Pi/6?

• 1/2

• -1/2

• Square root of 3/2

• -Square root of 3/2

What is the tangent of -5Pi/6?

• -Square root of 3/3

• Square root of 3/3

• -Square root of 3

• Square root of 3

What is the cosecant of -5Pi/6?

• 2

• -2

• 1

• -1