The Unit Circle

Question 1

Find the coordinates of the point (x, y) shown on the unit circle. x = ?

Revolt · Accepted Answer

-1/2

Question 2

y = ?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-13-04-20-01-task/mc001-3.jpg

Question 3

The angles that share the same tangent value as tan(45°) have terminal sides in quadrant II✔ IIIIV(none of the quadrants).

Revolt · Accepted Answer

✔ III

Question 4

Consider all angles whose reference angle is 45° with terminal sides not in Quadrant I.The angles that share the same cosine value as cos 45° have terminal sides in quadrant IIIII✔ IV(none of the quadrants).

Revolt · Accepted Answer

✔ IV

Question 5

Identify the reference angle for each given angle, . ⇒ 60 degrees. ⇒ 45 degrees. degrees. ⇒ 30 degrees.

Revolt · Accepted Answer

60; 45; 30

Question 6

Select all angle measures for which sine theta = negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-13-04-20-04-task/mr001-3.jpg; Answer image: //media.edgenuity.com/EVresources/3111-13-04-20-04-task/mr001-4.jpg; Answer image: //media.edgenuity.com/EVresources/3111-13-04-20-04-task/mr001-6.jpg

Question 7

Select all angle measures for which cosine theta = one-half

Revolt · Accepted Answer

–60°; 660°

Question 8

Select all that have a value of 0.

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-13-04-20-06-task/mr001-1.jpg; sin 0; Answer image: //media.edgenuity.com/EVresources/3111-13-04-20-06-task/mr001-3.jpg

Question 9

270°360°450°540°

Revolt · Accepted Answer

540°

Question 10

Explain how to find the exact value of sin(570°).

Revolt · Accepted Answer

Find that the terminal side lands in quadrant III. The angle is coterminal with a 210° angle. The reference angle is 30°. The sine of 30° is 1/2. Sine is negative in quadrant III. The sine of 570° is –1/2.

The Unit Circle Answers

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