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
An island off the east coast of the United states of America,Ellis Island, was officially designated as the formal immigration entry point and gateway for immigrants mostly from Europe arriving to the east coast of the United States by the then President Benjamin Harrison in 1890. It today harbors the statue of liberty, a national monument.
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The alliance system, which were the triple alliance formed by Germany,Italy and Austria-Hungary and the Triple Entente formed by UK,France and Russia.
The alliance system had caused great suspicion among the nations, as the alliance system was meant to be kept secret. The nations would be wary that they were to start war as they found backups for themselves.
It also support a nation's will to start a war as they would have back up, this urged WWI to happen.For example, with the support of Germany (blank cheque) Austria-Hungary sent an ultimatum to Serbia,which was impossible for Serbia to fulfill, finally lead to the outburst of WWI.
In addition, the system would enlarge the war scale to become a world war as one another would be drag into the war if one were involved.
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