Evaluate the 6 trig functions using the unit circle

The video tutorial guides students through the process of sketching angles on the unit circle, identifying reference angles, and finding coordinate points. It explains how to evaluate trigonometric functions such as sine, cosine, and tangent, as well as their reciprocal functions, for the angle 2π/3. The tutorial emphasizes practice and repetition to master these concepts.

What is the reference angle for 2π/3 on the unit circle?

• π/4

• π/2

• π/3

• π/6

Which of the following is the correct coordinate point for π/3 in the second quadrant?

• (sqrt(3)/2, -1/2)

• (-sqrt(3)/2, 1/2)

• (-1/2, sqrt(3)/2)

• (1/2, sqrt(3)/2)

What is the sine of 2π/3?

• 1/2

• -1/2

• sqrt(3)/2

• -sqrt(3)/2

How do you calculate the tangent of 2π/3 using the unit circle coordinates?

• X/Y

• Y-X

• Y/X

• X*Y

What is the secant of 2π/3?

• -1/2

• 1/2

• -2

• 2