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Find the magnitude of angle A, if 2 sin A cos A - cos A - 2 sin A + 1 = 0 - Mathematics

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Question

Find the magnitude of angle A, if 2 sin A cos A - cos A - 2 sin A + 1 = 0

Sum

Solution

2 sin A cos A – cos A – 2 sin A + 1 = 0
2 sin A cos A – cos A = 2 sin A – 1
(2 sin A – 1) cos A – (2 sin A – 1) = 0
(2 sin A – 1) = 0 and cos A = 1
sin A =`(1)/(2)` and cos A = cos 0°
A = 30°  and A = 0°

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Trigonometric Equation Problem and Solution
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Chapter 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] - Exercise 23 (C) [Page 298]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (C) | Q 11.1 | Page 298
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