Unit Circle and Trigonometric Functions

The video tutorial explains how to evaluate sine, cosine, and tangent for the angle negative pi halves. It begins by identifying the angle's position on the coordinate axis and graphing it on the unit circle. The unit circle's properties are discussed, and the coordinates are used to evaluate sine and cosine. The tangent is evaluated by considering the ratio of y over x, leading to an undefined result. The tutorial concludes with a summary of the evaluation process.

What is the main focus of the video tutorial?

• Evaluating trigonometric functions for positive angles

• Graphing angles on the coordinate plane

• Evaluating sine, cosine, and tangent for negative pi halves

• Understanding the unit circle

Where is the angle negative pi halves located on the coordinate axis?

• In the first quadrant

• In the second quadrant

• In the fourth quadrant

• In the third quadrant

What is the significance of the unit circle in trigonometry?

• It is used to evaluate trigonometric functions

• It helps in graphing linear equations

• It helps in understanding calculus

• It is used to solve quadratic equations

What is the radius of the unit circle?

• 2

• Pi

• 1

• 0.5

What are the coordinates of the point on the unit circle for negative pi halves?

• (-1, 0)

• (0, -1)

• (0, 1)

• (1, 0)

How is the sine of an angle represented on the unit circle?

• As the radius

• As the angle

• As the y-coordinate

• As the x-coordinate

How is the cosine of an angle represented on the unit circle?

• As the angle

• As the x-coordinate

• As the y-coordinate

• As the radius

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

• Tangent

• Secant

• Cosine

• Sine

Which trigonometric function is represented by the x-coordinate on the unit circle?

• Sine

• Cosine

• Cosecant

• Tangent

What is the value of sine for negative pi halves?

• 1

• Undefined

• 0

• -1