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Mathematics

If 2 sin θ = 3\sqrt{3}, then :

  1. 2 cos θ + 1 = 0

  2. 1 - sin θ = 0

  3. cos θ = 3\sqrt{3}

  4. 2 cos θ = 1

Trigonometric Identities

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Answer

Given,

⇒ 2 sin θ = 3\sqrt{3}

⇒ sin θ = 32\dfrac{\sqrt{3}}{2}

⇒ sin θ = sin 60°

⇒ θ = 60°

⇒ cos θ = cos 60°

⇒ 2 cos θ = 2 cos 60°

⇒ 2 cos θ = 2×122 \times \dfrac{1}{2}

⇒ 2 cos θ = 1.

Hence, Option 4 is the correct option.

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