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

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Question

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

Sum

Solution

( sin A – 1) ( 2 cos A – 1) = 0
(sin A – 1) = 0 and 2 cos A – 1 = 0
sin A = 1  and cos A = `(1)/(2)`
sin A = sin90° and cos A = cos60°
A = 90° and A = 60°

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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 297]

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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 2.1 | Page 297
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