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If sqrt(2) sin (60^circ – α) = 1 then α = ?

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Question

If `sqrt(2) sin (60^circ - α) = 1` then α = ?

Options

  • 15°

  • 30°

  • 45°

  • 60°

MCQ
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Solution

15°

Explanation:

`sin (60^circ - α) = 1/sqrt(2) = sin 45^circ`

⇒ 60° – α = 45°

⇒ α = (60° – 45°)

⇒ α = 15°

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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 7. | Page 576
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