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Calculate the value of A, if (tan A - 1) (cosec 3A - 1) = 0

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Question

Calculate the value of A, if (tan A - 1) (cosec 3A - 1) = 0

Sum
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Solution

( tan A – 1) ( cosec 3A – 1) = 0
tan A – 1 = 0 and  cosec 3A – 1  = 0
tan A = 1  and cosec 3A = 1
tan A = tan45° and cosec 3A = cosec90°
A = 45° and A = 30°

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Trigonometric Equation Problem and Solution
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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 3. (ii) | Page 328
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