$$ \left[\sin ^{2} heta ight. $$ can be written a (a) $$ \sin ^{2} 230^{\circ} $$

Question

$$ \left[\sin ^{2} 	hetaight. $$ can be written a (a) $$ \sin ^{2} 230^{\circ} $$

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It appears that your question is incomplete or partially provided. However, based on the information given, I can offer some insights into expressing $$\sin^2 \theta$$ using trigonometric identities.

### Expressing $$\sin^2 \theta$$

One common way to express $$\sin^2 \theta$$ is by using the **double-angle identity** for sine:

$$
\sin^2 \theta = \frac{1 - \cos(2\theta)}{2}
$$

This identity is useful in various applications, including integration and simplifying trigonometric expressions.

### Regarding $$\sin^2 230^\circ$$

If the question involves expressing $$\sin^2 \theta$$ as $$\sin^2 230^\circ$$, it typically would imply a specific angle substitution rather than a general identity. For example:

$$
\sin^2 \theta = \sin^2 230^\circ \quad \text{if} \quad \theta = 230^\circ + k \cdot 180^\circ \quad \text{for any integer } k
$$

This is because the sine function has a period of $$180^\circ$$ when squared, meaning:

$$
\sin^2 \theta = \sin^2 (\theta + 180^\circ)
$$

### Next Steps

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$$\sin^2 \theta$$ can be expressed as $$\frac{1 - \cos(2\theta)}{2}$$.

can be written a
(a)

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