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If sqrt(3) tan 2θ – 3 = 0 then θ = ?

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Question

If `sqrt(3) tan 2θ - 3 = 0` then θ = ?

Options

  • 15°

  • 30°

  • 45°

  • 60°

MCQ
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Solution

30°

Explanation:

`tan 2θ = 3/sqrt(3)`

= `sqrt(3)`

= tan 60°

⇒ 2θ = 60°

⇒ θ = 30°

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Chapter 11: T-Ratios of Some Particular Angles - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 576]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 11 T-Ratios of Some Particular Angles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 9. | Page 576
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