If e^ tin ^ 2 x+ ^ 4 x+ n _ e ^ 2 satisfies the quadratic equation x 2 - 9x + 8 = 0 and 0…
Mathematics · JEE Main · NTA Exams — Progression and Series
If \(e^{\operatorname{tin}^{2} x+\sin ^{4} x+\ldots \ldots \ldots} n \sin _{e}^{2}\)satisfies the quadratic equation x2- 9x + 8 = 0 and 0 < x < \(\pi / 2\), 0 < sin2 x < 1. Find the value of \(\frac{\cos x}{\cos x+\sin x}\).
- \(\frac{1}{2}(\sqrt{3}+1)\)
- \(\frac{1}{2}(\sqrt{3}-1)\)
- \(\frac{1}{2}(\sqrt{2}+1)\)
- \(\frac{1}{2}(-\sqrt{2}+1)\)
Answer
(B) 1 2 ( 3 -1)
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