The ones in red I’m not really sure about but fit the best. Hopefully you have a textbook you can refer back to.
Evolution and natural selection
If sin
=5/13
then the ratio of opposite side/hypotenuse
=5/13
By Pythagorean Theorem
If opposite side =5units and
hypotenuse =13 units
(for any units)
then adjacent side=12 units
and
cos=adjacent side over
hypotenuse =12/13
However, we need to note that if the angle is in Quadrant II then the
adjacent side
will actually be a negative value
so
cos= 12/13 for an angle in Q1
or
cos= -12/13 for an angle in Q2
(angle can’t be in Q3 or Q4, since sin > 0)
Napoleon used the ancient Roman term first consul due to the fact that he wanted to become a dictator like in Ancient Rome, wherein he also had seized power through the Military force just like Caesar, the dictator of Rome. He also dreamed of having an empire, which was strong as what the Romans had and he wanted to have the control over his dreamed empire.