Review how to evaluate our trig functions when given an angle

The video tutorial covers the evaluation of trigonometric functions using the unit circle. It explains the significance of the unit circle, how sine, cosine, and tangent are derived from it, and the importance of understanding these concepts. The tutorial also provides a step-by-step guide on evaluating these functions for specific angles, emphasizing the role of the unit circle's coordinates.

What is the significance of the angle π/6 in trigonometric evaluations?

• It allows intersection with the unit circle at a specific point.

• It is the largest angle in the first quadrant.

• It is irrelevant to trigonometric functions.

• It is the smallest angle in the unit circle.

Which coordinate on the unit circle represents the sine of an angle?

• The radius

• The origin

• The y-coordinate

• The x-coordinate

Why is the sine of an angle associated with the y-coordinate on the unit circle?

• Because the y-coordinate is always zero

• Because the x-coordinate is always zero

• Because the hypotenuse is always 1

• Because the unit circle is centered at the origin

What is the radius of the unit circle?

• 2

• π

• 1

• 0

How is the tangent of an angle represented on the unit circle?

• As the x-coordinate

• As the y-coordinate

• As the ratio of y to x

• As the radius

What are the sine and cosine values for the angle π/6?

• Sine: 1, Cosine: 0

• Sine: 0, Cosine: 1

• Sine: √3/2, Cosine: 1/2

• Sine: 1/2, Cosine: √3/2

What is the tangent of the angle π/6?

• 1

• √3

• √3/3

• 0