UPSKILL MATH PLUS

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In triangle \(ABC\), right-angled at \(B\), if \(tan \ A = \frac{1}{\sqrt{3}}\), find the value of:
 
(i) \(sin \ A \ cos \ C + cos \ A \ sin \ C =\)
 
(ii) \(cos \ A \ cos \ C - sin \ A \ sin \ C =\)