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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).
The angles that share the same sine value as sin(45°) have terminal sides in quadrant ✔ IIIIIIV(none of the quadrants).
The angles that share the same tangent value as tan(45°) have terminal sides in quadrant II✔ IIIIV(none of the quadrants).
Identify the reference angle [image 1] for each given angle, [image 2] . [image 3] degrees.

60
Select all angle measures for which sine theta = negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction






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

Select all that have a value of 0.



270°360°450°540°
Explain how to find the exact value of sin(570°).
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.
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