If \(\sqrt {3 }\)sin θ = cosθ, then what is the value of sin3θ?

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\(\sqrt {3}\) sin θ = cos θ ⇒ \(\frac{sin θ}{cos θ}\) = \(\frac{1}{√3}\) ⇒ tan θ =\(\frac{1}{√3}\) θ = 30° sin 3θ = sin (3× 30°) = sin 90° = 1