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Trigonometric Ratio and Identites question

2024 · 8 Apr · Shift 2 · Q48

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Trigonometric Ratio and Identites
2024 · 8 Apr · Shift 2 · Q48

Trigonometric Ratio and Identites question

2024 · 8 Apr · Shift 2 · Q48

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

If the value of

\frac{3 \cos 36^{\circ}+5 \sin 18^{\circ}}{5 \cos 36^{\circ}-3 \sin 18^{\circ}}

is

\frac{a \sqrt{5}-b}{c}

, where

a, b, c

are natural numbers and

\operatorname{gcd}(a, c)=1

, then

a+b+c

is equal to :

A
54
B
52
C
50
D
40

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