Master evaluate the six trigonometric functions using the unit circle

The video tutorial explains how to evaluate six trigonometric functions using given angles. It covers the unit circle's role in determining where angles intercept and how to use these points for evaluation. The tutorial also discusses breaking the circle into thirds, calculating reciprocal functions, and evaluating functions for negative angles.

What is the purpose of using the unit circle in evaluating trigonometric functions?

• To measure the circumference of a circle

• To determine the points of intersection for angles

• To find the length of the hypotenuse

• To calculate the area of a circle

Why is it important to break the unit circle into sections based on the angle's denominator?

• To reduce the number of angles to consider

• To make the circle look symmetrical

• To match the number of sections with the angle's denominator

• To simplify the calculation of angles

What is the sine of the angle 5π/3?

• 1/2

• -1/2

• -sqrt 3 / 2

• sqrt 3 / 2

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

• By dividing the X coordinate by the Y coordinate

• By adding the X and Y coordinates

• By dividing the Y coordinate by the X coordinate

• By multiplying the X and Y coordinates

What is the cosecant of the angle 5π/3?

• 1/2

• 2

• sqrt 3/2

• 2/sqrt 3

In which quadrant does the angle -2π/3 lie?

• Fourth quadrant

• First quadrant

• Third quadrant

• Second quadrant

What is the cosine of the angle -2π/3?

• sqrt 3 / 2

• -1/2

• -sqrt 3 / 2

• 1/2