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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⁡(arcsin⁡18424) \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}

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Q. Select the answer which is equivalent to the given expression using your calculator.\newlinesin⁡(arcsin⁡18424) \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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