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If sqrt(3) sin θ = cos θ, then the value of θ is ______. - Mathematics

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Question

If `sqrt(3) sin θ = cos θ`, then the value of θ is ______.

Options

  • `sqrt(3)`

  • 60°

  • `1/sqrt(3)`

  • 30°

MCQ
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Solution

If `sqrt(3) sin θ = cos θ`, then the value of θ is 30°.

Explanation:

`sqrt(3) sin θ = cos θ`

`sqrt(3) = cos θ/sin θ`

`sqrt(3) = cot θ`

cot 30° = cot θ

θ = 30°

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