Evaluate the six trigonometric functions for the given real number

The video tutorial explains how to evaluate trigonometric functions for a given point on the unit circle, specifically for the angle -5π/4. It covers determining the coordinate points for this angle, reflecting over the Y-axis, and calculating the values of sine, cosine, tangent, and their reciprocals. The tutorial emphasizes understanding the relationship between the angle and its corresponding coordinate points, as well as the mathematical operations involved in finding the trigonometric values.

What is the angle T in radians for which we are evaluating trigonometric functions?

• -π/2

• 3π/4

• -5π/4

• π/4

What is the X coordinate of the point at angle -5π/4 on the unit circle?

• -1

• 1

• -sqrt 2 / 2

• sqrt 2 / 2

Which trigonometric function represents the Y coordinate of a point on the unit circle?

• Sine

• Secant

• Tangent

• Cosine

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

• sqrt 2

• 1

• -1

• 0

What is the cosecant of the angle -5π/4 after rationalizing the denominator?

• 1

• 2

• sqrt 2

• -sqrt 2