1 answer:
Answer:
VT = 37.8 ft
Step-by-step explanation:
Here, we want to get the measure of VT
We need the diagram of the triangle here
We can get this in the attachment
From the diagram, we have it that the hypotenuse is the length UT since it faces the right angle
VT does not face the given angle , nor the right angle; this mean VT is the adjacent
Mathematically, the trigonometric ratio that connects the adjacent to the hypotenuse is the cosine
Thus;
cos 66 = VT/UT
cos 66 = VT/93
VT = 93 * cos 66
VT = 37.83
To the nearest tenth of a foot, VT = 37.8 ft
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Cosecant (csc) is defined as the reciprocal of sine, therefore:
.
1/sinx will be undefined when the denominator sinx = 0.
Recalling the unit circle, sinx = 0 at x = 0 ± πn, where n is an integer.
Since the domain x is restricted from (0, 2π), we only consider the values x = 0, x = π, and x = 2π.
Therefore in the domain 0 ≤ x ≤ 2π, y = csc(x) will be undefined at x = 0, x = π, and x = 2π.
1/sinx will be undefined when the denominator sinx = 0.
Recalling the unit circle, sinx = 0 at x = 0 ± πn, where n is an integer.
Since the domain x is restricted from (0, 2π), we only consider the values x = 0, x = π, and x = 2π.
Therefore in the domain 0 ≤ x ≤ 2π, y = csc(x) will be undefined at x = 0, x = π, and x = 2π.