Two trig identities are of interest here:
... sin(x)² + cos(x)² = 1
... csc(x) = 1/sin(x)
Using the first one, you can subtract cos(x)², the take the square root to find
... sin(x) = ±√(1 - cos(x)²)
Using that in the second one, you have
... csc(x) = ±1/√(1 - cos(x)²) . . . . . . . . . . . . . matches the 3rd choice
The current countries that are in the fertile crescent consist of Iraq<span>, </span>Kuwait<span>, </span>Syria<span>, </span>Lebanon<span>, </span>Jordan<span>, </span>Israel<span>, Palestine, </span>Cyprus<span>, and </span>Egypt<span>, beside the southeastern fringe of </span>Turkey<span> and the western fringes of </span>Iran<span>.</span>
Answer:
Barbarian was used a general term by the ancient Romans and referred to people that did not live within the Roman Empire. Barbarians believed in different gods, ate different food, and wore different clothing styles.
Explanation:
The Romans fought the barbarians at the borders of the Roman Empire for many years. In some cases, barbarians became part of the Roman Empire. In other cases, they fought wars and, eventually, sacked the city of Rome bringing about the end of the Western Roman Empire.