JEE Main 2024 Mathematics question
If the value of is , where a, b, c are natural numbers and gcd(a, c) = 1, then a + b + c is equal to:
Answer: (C)
Solution
cos 36° = (√5 + 1)/4 and sin 18° = (√5 − 1)/4. The numerator is (3√5 + 3 + 5√5 − 5)/4 = (8√5 − 2)/4 and the denominator is (5√5
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