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)
2 answers:
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)
Answer:
A. cos(x)
Step-by-step explanation:
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