The Unit Circle

Question 1

The angles that share the same sine value as sin(45°) have terminal sides in quadrant IIIIIIV(none of the quadrants).

Revolt · Accepted Answer

II

Question 2

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

Revolt · Accepted Answer

III

Question 3

Find the coordinates of the point (x, y) shown on the unit circle. x = ⇒ -1/2?

Revolt · Accepted Answer

Cannot be determined without the diagram

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 IIIIIIV(none of the quadrants).

Revolt · Accepted Answer

IV

Question 5

Identify the reference angle Phi for each given angle, Theta . When theta = 300 degrees, phi = degrees.

Revolt · Accepted Answer

Part 1: 60; Part 2: 45; Part 3: 60; Part 4: 30; 60

Question 6

270°360°450°540°

Revolt · Accepted Answer

540°

Question 7

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

Revolt · Accepted Answer

Subtract 360° from 570° to find the coterminal angle 210°. The terminal side is in quadrant III, and the reference angle is 30°. Since sin(30°) = 1/2 and sine is negative in quadrant III, sin(570°) = -1/2.

Question 8

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

Revolt · Accepted Answer

-1/2

Question 9

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 .

Revolt · Accepted Answer

IV

Question 10

Identify the reference angle [image 1] for each given angle, [image 2] . [image 3] degrees.

Revolt · Accepted Answer

Part 2: 45; Part 3: 60; Part 4: 30; 60, 45, 60, 30

The Unit Circle Answers

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