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Calculate the value of A, if cos 3A. (2 sin 2A - 1) = 0 - Mathematics

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प्रश्न

Calculate the value of A, if cos 3A. (2 sin 2A - 1) = 0

बेरीज

उत्तर

cos 3A (2 sin 2A – 1) = 0

cos 3A = 0 and 2 sin 2A – 1 = 0

cos 3A = cos90° and 2 sin 2A = 1

3A = 90° and sin 2A = `(1)/(2)`

A = 30° and sin 2A = sin 30°

A = 30° 

2A = 30°

⇒ A = 15°

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Trigonometric Equation Problem and Solution
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पाठ 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] - Exercise 23 (C) [पृष्ठ २९७]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (C) | Q 2.4 | पृष्ठ २९७
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