The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of b is 50.76 units.
<h3>What are Trigonometric functions?</h3>
The trigonometric function gives the ratio of different sides of a right-angle triangle.

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
The value of c can be found by using the cosine function of trigonometry, therefore, the value of b is,
Cos(19°) = 48/b
b = 48/Cos(19°)
b = 50.76579 ≈ 50.76 units
Hence, the value of b is 50.76 units.
Learn more about Trigonometric functions:
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For a vector:
cos^2(α) + cos^2(β) + cos^2(γ) = 1
From the givens:
α = π/4, therefore, cos(α) = 1/root 2 and cos^2(<span>α) = 1/2
</span>β = π/3, therefore, cos(β) = 1/2 and cos^2(<span>β) = 1/4
Substitute in the above equation:
1/2 + 1/4 + </span>cos^2(γ) = 1
cos^2(γ) = 1 - 1/2 - 1/4
cos^2(γ) = 1/4
cos(γ) is either 1/2 or -1/2
For cos(γ)= 1/2 .......> γ = <span>π/3
For </span>cos(γ)= -1/2 .......> γ = 2π/3
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Answer:
see below
Step-by-step explanation:
Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is <em>not</em> a function.
Of the two relations shown, the first is <em>not</em> a function (x=3 is repeated), and the second one is a function (all the x-values are different).
Do you want us to graph it for you or change it to stand which one?
Answer: A
Step-by-step explanation:
There is 3 ticks until it hits the whole number 1. it is on the first tick. 1/3