Mathematics · 2024
JEE Main · 8 April 2024, Shift 2 · Q20
If the value of (3 cos 36^°+5 sin 18^°)/(5 cos 36^°-3 sin 18^°) is (a √ 5 - b)/c, where a, b, c are natural numbers and gcd ( a, c )=1, then a + b +…
If the value of $\displaystyle \frac{3 \cos 36^{\circ}+5 \sin 18^{\circ}}{5 \cos 36^{\circ}-3 \sin 18^{\circ}}$ is $\displaystyle \frac{\mathrm{a} \sqrt{5}-\mathrm{b}}{\mathrm{c}}$, where a, b, c are natural numbers and $\displaystyle \operatorname{gcd}(\mathrm{a}, \mathrm{c})=1$, then $\displaystyle \mathrm{a}+\mathrm{b}+\mathrm{c}$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 52$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.