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If 2 sin 5x = √3, 0° ≤ x ≤ 90°, then x is equal to ______. - Mathematics

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Question

If 2 sin 5x = `sqrt(3)`, 0° ≤ x ≤ 90°, then x is equal to ______.

Options

  • 10°

  • 12°

  • 20°

  • 50°

MCQ
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Solution

If 2 sin 5x = `sqrt(3)`, 0° ≤ x ≤ 90°, then x is equal to 12°.

Explanation:

2 sin 5x = `sqrt(3)`

sin 5x = `sqrt(3)/2`

5x = 60°

x = `60/5`

x = 12°

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