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

Apply definition of arccosine: Apply the definition of the arccosine function. The arccos function is the inverse of the cosine function, which means that cos(arccos(x)) = x for any x in the domain of arccos.Substitute given expression: Substitute the given expression into the identity. cos(arccos((sqrt156)/(16))) = (sqrt156)/(16)Check options for match: Check the given options to match the simplified expression. The simplified expression is (sqrt156)/(16), which is one of the given options.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

cos(arccos ((sqrt156)/(16)))

(16)/(10)

(10)/(16)

(sqrt156)/(16)

(sqrt156)/(10)

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

View step-by-step help

Home

Math Problems

Algebra 2

Roots of rational numbers

Full solution

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

\newline

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

\newline

\frac{16}{10}

\newline

\frac{10}{16}

\newline

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

\newline

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

Apply definition of arccosine: Apply the definition of the arccosine function. $\newline$ The arccos function is the inverse of the cosine function, which means that $\cos(\arccos(x)) = x$ for any $x$ in the domain of arccos.
Substitute given expression: Substitute the given expression into the identity. $\cos(\arccos(\frac{\sqrt{156}}{16})) = \frac{\sqrt{156}}{16}$
Check options for match: Check the given options to match the simplified expression. $\newline$ The simplified expression is $(\sqrt{156})/(16)$ , which is one of the given options.