InterviewSolution
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1). 30°2). 60°3). 45°4). 90° |
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Answer» (sinθ + cosecθ) = 2.5 sinθ $(+\; \frac{1}{{{\rm{sin\theta }}}} = 2.5)$ -sin2θ + 2.5 sinθ - 1 = 0 sin2θ - 2.5sinθ + 1 = 0 sinθ $( = \frac{{ + 2.5 \PM \SQRT {6.25 - 4} }}{2})$ sinθ $( = \frac{{ + 2.5 \pm 1.5}}{2})$ ∴ sinθ = 2,$(\frac{1}{2})$ sinθ = 2 ∴ Not possible for 0 < θ < $(\frac{{\rm{\pi }}}{2})$ ∴ sinθ = $(\frac{1}{2})$ ∴ θ = 30° |
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