Evaluate the six trigonometric functions for the given real number

The video tutorial explains how to evaluate the six trigonometric functions for a given angle, T = -5π/4. It begins with an introduction to the unit circle and the concept of negative angles. The tutorial then covers how to determine coordinate points and reflect them over the Y-axis. It proceeds to evaluate sine, cosine, and tangent functions, and discusses reciprocal functions and simplification of expressions. The tutorial concludes with a summary of the evaluation process.

What is the first step in evaluating trigonometric functions for a given angle?

• Determine the angle's quadrant

• Reflect the angle over the X-axis

• Find the coordinate point on the unit circle

• Calculate the sine of the angle

In which direction do you move on the unit circle for a negative angle?

• Downward

• Upward

• Counterclockwise

• Clockwise

What is the coordinate point for the angle T = -5π/4?

• (sqrt(2)/2, sqrt(2)/2)

• (-sqrt(2)/2, sqrt(2)/2)

• (-sqrt(2)/2, -sqrt(2)/2)

• (sqrt(2)/2, -sqrt(2)/2)

Which trigonometric function corresponds to the Y value of the coordinate point?

• Tangent

• Cosine

• Sine

• Cotangent

What is the value of the tangent function for the angle T = -5π/4?

• 1

• 0

• -1

• sqrt(2)