Mathematics

Mathematics

Problem

If sin⁡θ+cos⁡θ=2 sin⁡θ\sin\theta + \cos\theta = \sqrt{2}\,\sin\theta for an acute angle θ\theta, what is θ\theta? a) 60∘60^{\circ} b) 67.5∘67.5^{\circ} c) 22.5∘22.5^{\circ} d) 45∘45^{\circ}

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