Trigonometric Functions and Their Properties

This video tutorial explains how to find the values of the six trigonometric functions using the unit circle approach, where the radius is assumed to be 1. It covers the calculation of sine, cosine, tangent, cotangent, secant, and cosecant for a given ordered pair. The tutorial includes step-by-step instructions for each function, including rationalizing denominators where necessary. The video concludes with a recap of the example and encourages viewers to apply the learned concepts.

What is the main focus of the video tutorial?

• Understanding the Pythagorean theorem.

• Exploring the properties of triangles.

• Learning about the history of trigonometry.

• Finding the value of six trigonometric functions using the unit circle.

In the unit circle approach, what is the assumed length of the radius?

• 1

• 2

• 3

• 0.5

Which trigonometric function is represented by the y-coordinate in the unit circle?

• cos(t)

• tan(t)

• sin(t)

• sec(t)

What is the value of sin(t) for the given ordered pair?

• square root of 3 over 2

• negative 1/2

• negative square root of 3 over 2

• 1/2

How is tan(t) calculated in the unit circle approach?

• 1/y

• x/y

• y/x

• 1/x

What is the value of tan(t) for the given ordered pair?

• negative square root of 3

• square root of 3

• negative 1

• 1

What is the reciprocal of tan(t) known as?

• csc(t)

• cos(t)

• cot(t)

• sec(t)

What is the value of cot(t) after rationalizing the denominator?

• square root of 3 over 3

• square root of 3

• 1 over square root of 3

• 3 over square root of 3

How is sec(t) calculated in the unit circle approach?

• 1/y

• 1/x

• x/y

• y/x

What is the value of sec(t) for the given ordered pair?

• 1/2

• -2

• 2

• -1/2