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
Answer:
In September 1792, the new National Convention abolished the monarchy and declared France a republic. Louis was found guilty of treason and executed at the guillotine on 21 January 1793.
Explanation:
Answer:
On January 1, 1892, teenager Annie Moore from County Cork, Ireland, became the first person admitted to the new immigration station on Ellis Island. On that opening day, she received a greeting from officials and a $10.00 gold piece. The First Immigrant Landed on Ellis Island. When 15-year-old Annie Moore arrived here from Ireland on this day in 1892, she was the first person to enter the United States through Ellis Island.
Cold War, the open yet restricted rivalry that developed after World War II between the United States and the Soviet Union and their respective allies. The Cold War was waged on political, economic, and propaganda fronts and had only limited recourse to weapons.
Answer:
heart.
Explanation:
In ancient Egypt, the heart was considered to be the center of thought and emotion. According to their belief system, in the afterlife, the heart was weighed in a balance against the famous feather of Maat, and the god in charge of performing this ritual was none other than Anubis, the god of death and the afterlife. As the ritual was supposed to happen, the heart had to balance the weight of the feather, for if the heart was heavier, the heart would be lost and the soul of that person destroyed.
