Which of the following is not possible?

Options

A. `sintheta=5/3`
B. `tantheta=1002`
C. `costheta=(1+p^2)/(1-p^2),(pne0,pm1)`
D. `sectheta=1/2`

Explanation

To solve the problem of determining which of the given functions is not possible, we will analyze each option one by one based on the properties and ranges of trigonometric functions.

### Step-by-Step Solution:

1. **Evaluate \( \sin \theta = \frac{5}{3} \)**:
- The range of the sine function, \( \sin \theta \), is from -1 to 1.
- Since \( \frac{5}{3} \) is greater than 1, it falls outside the range of sine.
- Therefore, \( \sin \theta = \frac{5}{3} \) is **not possible**.
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