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

Sum

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

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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°

Concept: Trigonometric Equation Problem and Solution
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (C) | Q 2.2 | Page 297
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