How to evaluate trig functions with the unit circle

The video tutorial explains the process of graphing angles, understanding reference angles, and using the unit circle. It covers the definitions and calculations of trigonometric functions such as sine, cosine, tangent, and their reciprocals. The tutorial emphasizes the importance of understanding these concepts and provides step-by-step instructions for calculating these values, especially in different quadrants of the unit circle.

What is the reference angle for 4π/3?

• π/4

• π/6

• 2π/3

• π/3

Which point on the unit circle corresponds to the angle π/3?

• (1/2, sqrt(3)/2)

• (-1/2, sqrt(3)/2)

• (sqrt(3)/2, 1/2)

• (-sqrt(3)/2, -1/2)

In which quadrant are both x and y coordinates negative?

• Fourth quadrant

• Third quadrant

• Second quadrant

• First quadrant

What is the sine of the angle with coordinates (-1/2, -sqrt(3)/2)?

• sqrt(3)/2

• -1/2

• -sqrt(3)/2

• 1/2

What is the reciprocal of the cosine function?

• Cosecant

• Sine

• Tangent

• Secant