If the value of {3 \cos 36^{\circ}+5 \sin 18^{\circ}}/{5 \cos 36^{\circ}-3 \sin 18^{\circ}} is {a \sqrt{5}-b}/{c}, where a, b, c are natural numbers and {\gcd}(a, c)=1, then {\a}+ {\b}+ {\c} is equal to : [8 Apr 2024 Shift 2]

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