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If 2sin 3A − 1 = 0 ; the value of angle A is ______.

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Question

If 2sin 3A − 1 = 0 ; the value of angle A is ______.

Options

  • 20°

  • 60°

  • 10°

  • 30°

MCQ
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Solution

If 2sin 3A − 1 = 0 ; the value of angle A is 10°.

Explanation:

Given 2sin 3A − 1 = 0

\[\sin 3A = \frac{1}{2}\].

Since \[\sin 30^\circ = \frac{1}{2}\],

we have 3A = 30°, which gives \[A = \frac{30^\circ}{3} = 10^\circ\].

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Chapter 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - EXERCISE 21 (E) [Page 328]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 21 Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
EXERCISE 21 (E) | Q 1. (d) | Page 328
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