 Find the value of sin 0 if the opposite side is 4 cm and the hypotenuse is 5 cm.

To find the value of \(\sin \theta\), you use the formula:

\[
\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}
\]

Given:
- Opposite side = 4 cm
- Hypotenuse = 5 cm

Substituting the values into the formula:

\[
\sin \theta = \frac{4}{5} = 0.8
\]

So, the value of \(\sin \theta\) is \(0.8\).

Do you want more details or have any questions? Here are some related questions you might find interesting:

1. What is the value of \(\cos \theta\) if the adjacent side is 3 cm and the hypotenuse is 5 cm?
2. How do you find the value of \(\tan \theta\) using the opposite and adjacent sides?
3. Can \(\sin \theta\) ever be greater than 1? Why or why not?
4. How do you calculate \(\cos \theta\) if you know \(\sin \theta\)?
5. What are the reciprocal trigonometric functions related to \(\sin \theta\)?
6. How would the value of \(\sin \theta\) change if the hypotenuse was larger?
7. What is the relationship between \(\sin \theta\) and \(\cos \theta\)?
8. How do you apply the Pythagorean theorem to find a missing side in a right triangle?

**Tip:** Always ensure that the hypotenuse is the longest side when using trigonometric ratios in a right triangle.

Learn how to find the value of sin theta in a right triangle where the opposite side is 4 cm and the hypotenuse is 5 cm. Understand the application of trigonometric ratios and their formulas with a step-by-step solution. Suitable for high school students.

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