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]

JEE Main 8 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 9 of 90

Marks: +1, -0

If the value of ‌

3‌cos‌36∘+5sin‌18∘

5‌cos‌36∘−3sin‌18∘

is ‌

a√5−b

, 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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