The Unit Circle — Unit test Answers

Henry is asked to find the exact value of . His steps are shown below.1. Subtract from as many times as possible: – = 2. Find the reference angle for : – = .3. The cosine value for is .4. The cosine value is positive because is in the first quadrant.Which of the following describes Henry’s errors?

A circle has a central angle measuring radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for .

Which of the following are in correct order from greatest to least?

What is the approximate length of arc s on the circle below? Use 3.14 for . Round your answer to the nearest tenth.

An angle that shares the same sine value of an angle that measures radians is located where?

Angle B has a measure between 0° and 360° and is coterminal with a –865° angle. What is the measure of angle B?

Which values for have the same reference angles?

On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point. What is sin?

An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall on the y-axis?

Which of the following represents the measures of all angles coterminal with a –220° angle?

How long is the arc intersected by a central angle of radians in a circle with a radius of 6 ft? Round your answer to the nearest tenth. Use 3.14 for .

Which measure is of an angle that is coterminal with a 95° angle?