Select the answer which is equivalent to the given expression using your calculator. sec(arccos ((sqrt156)/(16))) (10)/(16) (16)/(10) (10)/(sqrt156) (16)/(sqrt156)

Understand secant function: First, let's understand the expression sec(arccos((sqrt156)/(16))). The secant function is the reciprocal of the cosine function. So, sec(θ) = 1/cos(θ). Therefore, sec(arccos(x)) = 1/cos(arccos(x)) = 1/x, because arccos(x) is the angle whose cosine is x.Apply understanding to expression: Now, let's apply this understanding to our expression. sec(arccos((sqrt156)/(16))) = 1/(sqrt156/16) To simplify this, we can multiply the numerator and the denominator by 16.Simplify expression: After multiplying by 16, we get: sec(arccos((sqrt156)/(16))) = 16/(sqrt156) This is one of the options given, so we can conclude that this is the equivalent expression.

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Select the answer which is equivalent to the given expression using your calculator.

sec(arccos ((sqrt156)/(16)))

(10)/(16)

(16)/(10)

(10)/(sqrt156)

(16)/(sqrt156)

Select the answer which is equivalent to the given expression using your calculator. $\newline$ $\sec \left(\arccos \frac{\sqrt{156}}{16}\right)$ $\newline$ $\frac{10}{16}$ $\newline$ $\frac{16}{10}$ $\newline$ $\frac{10}{\sqrt{156}}$ $\newline$ $\frac{16}{\sqrt{156}}$

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Algebra 2

Roots of rational numbers

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Q. Select the answer which is equivalent to the given expression using your calculator.

\newline

\sec \left(\arccos \frac{\sqrt{156}}{16}\right)

\newline

\frac{10}{16}

\newline

\frac{16}{10}

\newline

\frac{10}{\sqrt{156}}

\newline

\frac{16}{\sqrt{156}}

Understand secant function: First, let's understand the expression $\sec(\arccos(\frac{\sqrt{156}}{16}))$ . The secant function is the reciprocal of the cosine function. So, $\sec(\theta) = \frac{1}{\cos(\theta)}$ . Therefore, $\sec(\arccos(x)) = \frac{1}{\cos(\arccos(x))} = \frac{1}{x}$ , because $\arccos(x)$ is the angle whose cosine is $x$ .
Apply understanding to expression: Now, let's apply this understanding to our expression. $\sec(\arccos(\frac{\sqrt{156}}{16})) = \frac{1}{\sqrt{156}/16}$ To simplify this, we can multiply the numerator and the denominator by $16$ .
Simplify expression: After multiplying by $16$ , we get: $\newline$ $\sec(\arccos(\frac{\sqrt{156}}{16})) = \frac{16}{\sqrt{156}}$ $\newline$ This is one of the options given, so we can conclude that this is the equivalent expression.