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KIM [24]
3 years ago
5

Let csc(x) = Cosecant (x) = StartFraction 14 Over 10 EndFraction, where 0 less-than x less-than StartFraction pi Over 2 EndFract

ion. Which ratio has a value of StartFraction StartRoot 96 EndRoot Over 14 EndFraction?
cos(x)
sin(x)
sec(x)
cot(x)
Mathematics
2 answers:
dedylja [7]3 years ago
4 0

Answer:

First Option: cos(x)

Step-by-step explanation:

What is given is csc(x) = 14/10

The graph lies in the first quadrant since 0 < x < pi/2

Create a triangle:

The length across is 14

The adjacent is 10

The length of the shorter side is root 96

Use the pythagorean theorem

BC^2 = 14^2 - 10^2

BC^2 = 196 - 100, 96

BC^2 = root 96/14

Recall SOH-CAH-TOA

Adjacent over Hypotenuse is cos

That is how the answer is cos(x)

NeTakaya3 years ago
3 0

Answer:

A. cos(x)

Step-by-step explanation:

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