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Question:

If sin θ = $\frac{\sqrt{3}}{2},$​​​​​​​ and θ is an acute angle, find the value of cos 3θ.

Explanation:

Given, sin θ = $\frac{\sqrt{3}}{2}$

∴ θ = 60°

⇒ cos 3θ = cos 180° = -1.

Hence, option (c).