In triangle ABC, right-angled at B. if `tanA=1/(sqrt(3))`find the value of:
(i) `sin A cos C+cos A sin C`
(ii) `cos A cos C sin A sin C`

Explanation

To solve the problem step by step, we will follow the given instructions and calculate the required values.

### Given:
In triangle ABC, right-angled at B, we have:
- \( \tan A = \frac{1}{\sqrt{3}} \)

### Step 1: Determine the sides of the triangle
Since \( \tan A = \frac{\text{opposite}}{\text{adjacent}} \), we can assign:
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