If is an acute angle satisfying

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If θ\theta is an acute angle satisfying sin⁡θ=cos⁡3θ\sin\theta=\cos 3\theta, then θ\theta lies in which interval? (a) 30∘<θ<45∘30^{\circ}<\theta<45^{\circ} (b) 15∘<θ<30∘15^{\circ}<\theta<30^{\circ} (c) 0∘<θ<15∘0^{\circ}<\theta<15^{\circ} (d) 45∘<θ<60∘45^{\circ}<\theta<60^{\circ}

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