Select the answer which is equivalent to the given expression using your calculator. sin(arcsin ((11)/(14))) (sqrt75)/(14) (11)/(14) (14)/(11) (sqrt75)/(11)

Understand Functions Composition: Understand the composition of functions sin and arcsin. The arcsin function is the inverse of the sin function. Therefore, when we take the sin of the arcsin of a number, we should get the original number back, provided that the number is within the domain of the sine function, which is [-1, 1].Evaluate sin(arcsin(11/14)): Evaluate sin(arcsin(11/14)). Since 11/14 is within the domain of the sine function, we can directly say that sin(arcsin(11/14)) = 11/14 without using a calculator.Compare Result with Options: Compare the result with the given options. The result from Step 2 is 11/14, which matches 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.

sin(arcsin ((11)/(14)))

(sqrt75)/(14)

(11)/(14)

(14)/(11)

(sqrt75)/(11)

Select the answer which is equivalent to the given expression using your calculator. $\newline$ $\sin \left(\arcsin \frac{11}{14}\right)$ $\newline$ $\frac{\sqrt{75}}{14}$ $\newline$ $\frac{11}{14}$ $\newline$ $\frac{14}{11}$ $\newline$ $\frac{\sqrt{75}}{11}$

View step-by-step help

Home

Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

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

\newline

\sin \left(\arcsin \frac{11}{14}\right)

\newline

\frac{\sqrt{75}}{14}

\newline

\frac{11}{14}

\newline

\frac{14}{11}

\newline

\frac{\sqrt{75}}{11}

Understand Functions Composition: Understand the composition of functions $\sin$ and $\arcsin$ . The $\arcsin$ function is the inverse of the $\sin$ function. Therefore, when we take the $\sin$ of the $\arcsin$ of a number, we should get the original number back, provided that the number is within the domain of the sine function, which is $[-1, 1]$ .
Evaluate $\sin(\arcsin(\frac{11}{14}))$ : Evaluate $\sin(\arcsin(\frac{11}{14}))$ . $\newline$ Since $\frac{11}{14}$ is within the domain of the sine function, we can directly say that $\sin(\arcsin(\frac{11}{14})) = \frac{11}{14}$ without using a calculator.
Compare Result with Options: Compare the result with the given options. $\newline$ The result from Step $2$ is $\frac{11}{14}$ , which matches one of the given options.