Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $$ \sin 0=\frac{8 \sqrt{73}}{73} $$ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function is undefined, Select the correct choice below and, if necessary, fill in the answer box to complete your choice, A. $$ \cos 0=\frac{3 \sqrt{73}}{73} $$ (Simplify your answer, including any radicals. Use integers of fractions for any numbers in the expression.) B. The function is undefined. Select the correct choice below and, if necessary, fill in the answer box to complete your choice, A. $$ an 0= $$ $$ \square $$ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function is undefined.

Question

Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $$ \sin 0=\frac{8 \sqrt{73}}{73} $$ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function is undefined, Select the correct choice below and, if necessary, fill in the answer box to complete your choice, A. $$ \cos 0=\frac{3 \sqrt{73}}{73} $$ (Simplify your answer, including any radicals. Use integers of fractions for any numbers in the expression.) B. The function is undefined. Select the correct choice below and, if necessary, fill in the answer box to complete your choice, A. $$ 	an 0= $$ $$ \square $$ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function is undefined.

UpStudy AI · Accepted Answer

Let's evaluate each trigonometric function based on the provided choices.

### 1. $$ \sin \theta $$

**Choices:**
- **A.** $$ \sin \theta = \frac{8 \sqrt{73}}{73} $$
- **B.** The function is undefined.

**Evaluation:**
Since $$ \sin \theta $$ is defined for all real numbers, option **A** is the correct choice.

**Selected Choice:**
**A.** $$ \sin \theta = \frac{8 \sqrt{73}}{73} $$

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### 2. $$ \cos \theta $$

**Choices:**
- **A.** $$ \cos \theta = \frac{3 \sqrt{73}}{73} $$
- **B.** The function is undefined.

**Evaluation:**
Similarly, $$ \cos \theta $$ is defined for all real numbers, so option **A** is the correct choice.

**Selected Choice:**
**A.** $$ \cos \theta = \frac{3 \sqrt{73}}{73} $$

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### 3. $$ \tan \theta $$

**Choices:**
- **A.** $$ \tan \theta = \square $$
- **B.** The function is undefined.

**Evaluation:**
The tangent function is defined as $$ \tan \theta = \frac{\sin \theta}{\cos \theta} $$. Substituting the values from above:

$$
\tan \theta = \frac{\frac{8 \sqrt{73}}{73}}{\frac{3 \sqrt{73}}{73}} = \frac{8}{3}
$$

Since both sine and cosine are defined and $$ \cos \theta \neq 0 $$, $$ \tan \theta $$ is also defined.

**Selected Choice:**
**A.** $$ \tan \theta = \frac{8}{3} $$

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**Summary of Selections:**
1. **A.** $$ \sin \theta = \frac{8 \sqrt{73}}{73} $$
2. **A.** $$ \cos \theta = \frac{3 \sqrt{73}}{73} $$
3. **A.** $$ \tan \theta = \frac{8}{3} $$
**Selected Choices:** 1. **A.** $$ \sin \theta = \frac{8 \sqrt{73}}{73} $$ 2. **A.** $$ \cos \theta = \frac{3 \sqrt{73}}{73} $$ 3. **A.** $$ \tan \theta = \frac{8}{3} $$

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