Master evaluate the six trigonometric functions using the unit circle

This video tutorial explains how to evaluate the six trigonometric functions for two specific angles: π/6 and -5π/6. It begins with an introduction to the concept of evaluating trigonometric functions and proceeds to identify these angles on the unit circle. The tutorial then demonstrates how to calculate the sine, cosine, tangent, and their reciprocal functions for π/6, followed by similar calculations for -5π/6, highlighting the reflection properties of negative angles.

What are the two angles discussed for evaluating trigonometric functions in the video?

• π/4 and -π/4

• π/6 and -5π/6

• π/2 and -π/2

• π/3 and -π/3

Which coordinate on the unit circle represents the sine of π/6?

• Radius

• X-coordinate

• Y-coordinate

• Origin

What is the value of the tangent of π/6 after rationalizing the denominator?

• √3

• 1/2

• √3/3

• 1/√3

How is the cosecant of π/6 calculated?

• Reciprocal of cosine

• Reciprocal of cotangent

• Reciprocal of tangent

• Reciprocal of sine

What is the relationship between the angles π/6 and -5π/6 on the unit circle?

• They are identical

• They are reflections over the X-axis

• They are reflections over the Y-axis

• They are perpendicular

What is the sine of -5π/6?

• 1/2

• -1/2

• √3/2

• -√3/2

How does the secant of -5π/6 compare to the secant of π/6?

• It is the reciprocal

• It is the same

• It is the negative reciprocal

• It is the negative