Let csc(x) = Cosecant (x) = StartFraction 14 Over 10 EndFraction, where 0 less-than x less-than StartFraction pi Over 2 EndFraction. Which ratio has a value of StartFraction StartRoot 96 EndRoot Over 14 EndFraction? cos(x)
sin(x)
sec(x)
cot(x)

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)

maybe - definition of supplementary angles. im not sure. sorry

step-by-step explanation:

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point