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
Arms race hope that helped
They thought they would die on the way & they did not want to take their risk
What did the Louisiana Purchase achieve for the United States?<span>
With the Louisiana Purchase in 1803, the United States purchased approximately 828,000,000 square miles of territory from France, thereby doubling the size of the young republic.</span>
