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 first analyze the given information and then compute the required values.

### Given:
- Triangle ABC is right-angled at B.
- \( \tan A = \frac{1}{\sqrt{3}} \)

### Step 1: Determine the angles A and C
Since triangle ABC is right-angled at B, we know that:
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