Evaluate your six trig functions for a given point

The video tutorial covers the evaluation of six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. It begins with an introduction to the unit circle and the importance of understanding angle measures in radians. The instructor explains how to find coordinate points on the unit circle, emphasizing the significance of memorizing the first quadrant. The tutorial then delves into evaluating trigonometric functions, including the process of rationalizing denominators and understanding reciprocal functions. The video concludes with a discussion on the patterns observed in trigonometric functions and their applications.

What is the first step in evaluating the six trigonometric functions?

• Determine the angle in degrees

• Calculate the sine function

• Find the point on the circle

• Memorize the entire unit circle

How is π expressed in terms of a denominator of 4?

• 2π / 4

• 4π / 4

• π / 2

• 8π / 4

What is the coordinate point for an angle of π/4 on the unit circle?

• (-sqrt(2)/2, sqrt(2)/2)

• (1/2, sqrt(3)/2)

• (sqrt(2)/2, sqrt(2)/2)

• (-1/2, sqrt(3)/2)

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

• Cosine

• Tangent

• Sine

• Secant

What is the result of the tangent function for the point (-sqrt(2)/2, sqrt(2)/2)?

• 1

• -1

• 0

• sqrt(2)

How do you rationalize the denominator of 1/sqrt(2)?

• Multiply by sqrt(3)/sqrt(3)

• Multiply by sqrt(2)/sqrt(2)

• Multiply by 2/2

• Multiply by 1/sqrt(2)

What is the secant of an angle if the cosine is -sqrt(2)/2?

• 1/sqrt(2)

• -sqrt(2)

• -1/sqrt(2)

• sqrt(2)