Trigonometric Functions and Values

The video tutorial explains how to determine the trigonometric functions of an angle theta, given its intersection with the unit circle at a specific point. It covers the properties of the unit circle, including how the x and y coordinates represent cosine and sine values, respectively. The tutorial then demonstrates how to calculate sine, cosine, and tangent values, followed by the derivation of reciprocal trigonometric functions such as cosecant, secant, and cotangent.

What is the given point where the terminal side of angle theta intersects the unit circle?

• (-1/2, -√3/2)

• (1/2, -√3/2)

• (1/2, √3/2)

• (-1/2, √3/2)

On the unit circle, what does the x-coordinate represent?

• Cosecant value

• Cosine value

• Tangent value

• Sine value

What is the sine value for the given angle theta?

• 1/2

• -√3/2

• √3/2

• -1/2

What is the cosine value for the given angle theta?

• -√3/2

• 1/2

• √3/2

• -1/2

How is the tangent of an angle calculated using sine and cosine?

• Cosine minus sine

• Sine multiplied by cosine

• Sine divided by cosine

• Cosine divided by sine

What is the tangent value for the given angle theta?

• -1/√3

• √3

• -√3

• 1/√3

How is the cosecant of an angle calculated?

• 1 divided by cosine

• 1 divided by sine

• 1 divided by tangent

• 1 divided by secant

What is the secant value for the given angle theta?

• -1/2

• -2

• 1/2

• 2

What is the cotangent value for the given angle theta?

• -√3

• √3

• -1/√3

• 1/√3

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

• Cotangent

• Tangent

• Secant

• Cosecant