Evaluate a point of the unit circle for sine, cosine and tangent

The video tutorial explains how to evaluate the trigonometric functions sine, cosine, and tangent for a given angle T, specifically 11π/6. It begins with an introduction to the unit circle and radians, emphasizing the importance of understanding these concepts. The tutorial then guides viewers through the process of locating 11π/6 on the unit circle and determining the corresponding coordinate points. Finally, it demonstrates how to evaluate the trigonometric functions using these points, including rationalizing the denominator for tangent.

What is the first step in evaluating trigonometric functions for a given angle?

• Multiply the angle by π.

• Determine the angle in degrees.

• Find the angle's position on the unit circle.

• Convert the angle to a fraction.

How is a radian defined in relation to the unit circle?

• As the area of the circle.

• As the diameter of the circle.

• As the circumference of the circle.

• As the radius wrapped around the circle.

What is the equivalent of 6π/6 in terms of π?

• 3π

• π/2

• π

• 2π

What is the coordinate point for 11π/6 on the unit circle?

• (-sqrt(3)/2, 1/2)

• (sqrt(3)/2, -1/2)

• (-1/2, sqrt(3)/2)

• (1/2, sqrt(3)/2)

Which trigonometric function corresponds to the y-coordinate of a point on the unit circle?

• Secant

• Tangent

• Cosine

• Sine

How do you calculate the tangent of an angle on the unit circle?

• Divide the y-coordinate by the x-coordinate.

• Multiply the x and y coordinates.

• Divide the x-coordinate by the y-coordinate.

• Add the x and y coordinates.

What is the result of rationalizing the denominator for the tangent of 11π/6?

• -sqrt(3)/3

• 1/3

• -1/2

• sqrt(3)/2