Question

what is \\(\sin(a)\\)?
\\(\sin(a) = \frac{?}{\quad}\\)
hint: remember sohcahtoa.

Explanation:

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<reasoning>

Identify the sides relative to angle A

\[

$$\begin{aligned} &\text{Opposite side} = 4\\ &\text{Hypotenuse} = 5\\ &\text{Adjacent side} = 3 \end{aligned}$$

\]

Apply the sine ratio formula

\[
\sin(A) = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{4}{5}
\]
</reasoning>

<answer>
What is \(\sin(A)\)?

\(\sin(A) =\) <blank>\(\frac{4}{5}\)</blank>
</answer>

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Answer:

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<reasoning>

Identify the sides relative to angle A

\[

$$\begin{aligned} &\text{Opposite side} = 4\\ &\text{Hypotenuse} = 5\\ &\text{Adjacent side} = 3 \end{aligned}$$

\]

Apply the sine ratio formula

\[
\sin(A) = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{4}{5}
\]
</reasoning>

<answer>
What is \(\sin(A)\)?

\(\sin(A) =\) <blank>\(\frac{4}{5}\)</blank>
</answer>

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"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Geometry",
"Trigonometric Ratios"
]
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