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

sin(arcsin ((18)/(sqrt424)))

(18)/(sqrt424)

(10)/(18)

(sqrt424)/(18)

(18)/(10)

Select the answer which is equivalent to the given expression using your calculator.\newlinesin(arcsin18424) \sin \left(\arcsin \frac{18}{\sqrt{424}}\right) \newline18424 \frac{18}{\sqrt{424}} \newline1018 \frac{10}{18} \newline42418 \frac{\sqrt{424}}{18} \newline1810 \frac{18}{10}

Full solution

Q. Select the answer which is equivalent to the given expression using your calculator.\newlinesin(arcsin18424) \sin \left(\arcsin \frac{18}{\sqrt{424}}\right) \newline18424 \frac{18}{\sqrt{424}} \newline1018 \frac{10}{18} \newline42418 \frac{\sqrt{424}}{18} \newline1810 \frac{18}{10}
  1. Question Prompt: Question prompt: What is the value of sin(arcsin(18424))\sin(\arcsin(\frac{18}{\sqrt{424}}))?
  2. Function Composition: Understand the composition of functions sin\sin and arcsin\arcsin. The function sin(arcsin(x))\sin(\arcsin(x)) is the inverse of arcsin\arcsin, which means that sin(arcsin(x))=x\sin(\arcsin(x)) = x for all xx in the domain of arcsin\arcsin.
  3. Apply Composition: Apply the composition of functions to the given expression.\newlineSince sin(arcsin(18424))\sin(\arcsin(\frac{18}{\sqrt{424}})) is the same as the input of arcsin\arcsin, which is 18424\frac{18}{\sqrt{424}}, we can directly write the expression as 18424\frac{18}{\sqrt{424}} without using a calculator.
  4. Simplify Expression: Simplify the expression 18424\frac{18}{\sqrt{424}} if necessary.\newlineHowever, in this case, the expression is already in its simplest form, so no further simplification is needed.

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