Which function has the given properties below?

the domain is the set of all real numbers.
one x-intercept is mc016-1.jpg.
the amplitude is 4.
the point mc016-2.jpg is on the graph.
the y-intercept is (0, 0).
y = –4sin(x)
y = –4cos(x)
y = 4sin(x)
y = 4cos(x)

The given data are:

A function that:

The domain is the set of all real numbers
One x-intercept
The amplitude is 4
The y-intercept is (0,0)

From the choices, the functions containing "cosine" can be eliminated  since the described function passes through (0,0). So, we are left with two choices:

y = -4sin (x) and y = 4sin (x)

Given the amplitude of 4, the answer must be y = 4 sin(x)

Sin(a)+cos(a)+cot(a)-1=2(csc(x)+1)