If `cottheta=7/8`, evaluate:
(i) `((1+sintheta)(1-sintheta))/((1+costheta)(1-costheta))`
(ii) `cot^2theta`

Explanation

To solve the problem step by step, we will evaluate the two parts given that \( \cot \theta = \frac{7}{8} \).

### Part (i): Evaluate \( \frac{(1 + \sin \theta)(1 - \sin \theta)}{(1 + \cos \theta)(1 - \cos \theta)} \)

1. **Understanding Cotangent**:
Given \( \cot \theta = \frac{7}{8} \), we can interpret this in terms of a right triangle where the adjacent side (base) is 7 and the opposite side (perpendicular) is 8.

2. **Finding Hypotenuse**:
...