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CAT 2023 Trigonometry — Previous Year Question

Year

CAT 2023

Section

Quantitative

Topic

Trigonometry

Difficulty

Hard

Question

Slot-1

Find the value of sin⁡615∘+sin⁡675∘+6sin⁡215∘sin⁡275∘sin⁡415∘+sin⁡475∘+5sin⁡215∘sin⁡275∘\dfrac{\sin^{6}15^\circ + \sin^{6}75^\circ + 6\sin^{2}15^\circ\sin^{2}75^\circ}{\sin^{4}15^\circ + \sin^{4}75^\circ + 5\sin^{2}15^\circ\sin^{2}75^\circ}

sin⁡15∘+sin⁡75∘\sin15^\circ + \sin75^\circ

65\dfrac{6}{5}

11

sin⁡15∘cos⁡15∘\sin15^\circ\cos15^\circ

None of the above

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