Trigonometric Functions and Their Properties

This video tutorial covers the construction of a table of common trigonometric values, focusing on six key functions: sine, cosine, tangent, cosecant, secant, and cotangent. It explains the angles in degrees and radians, provides tricks for memorizing sine and cosine values, and discusses the sign changes of these functions in different quadrants. The video also demonstrates how to evaluate these functions at specific angles and concludes with resources for further practice.

Which of the following is the reciprocal of the sine function?

• Cosecant

• Cotangent

• Tangent

• Secant

What is the radian measure of a 60-degree angle?

• π/6

• π/4

• π/3

• π/2

What is the sine of 45 degrees?

• 1/2

• √2/2

• √3/2

• 1

How does the cosine value change as you move from 0 to 90 degrees?

• First increases, then decreases

• Remains constant

• Decreases

• Increases

In which quadrants is the sine function positive?

• Quadrants 1 and 4

• Quadrants 3 and 4

• Quadrants 2 and 3

• Quadrants 1 and 2

Which trigonometric function is positive in both the first and third quadrants?

• Sine

• Cosine

• Tangent

• Cosecant

What is the tangent of 45 degrees?

• Undefined

• √3

• 1

• 0

What is the cosecant of 30 degrees?

• Undefined

• √3

• √2

• 2

What is the secant of 60 degrees?

• Undefined

• √3/2

• 2

• 1/2

What is the cotangent of 90 degrees?

• 0

• 1

• √3

• Undefined