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Find the value of 'A', if (2 - cosec 2A) cos 3A = 0 - Mathematics

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Question

Find the value of 'A', if (2 - cosec 2A) cos 3A = 0

Sum

Solution

(2 - cosec 2A) cos 3A = 0
⇒ 2 - cosec 2A = 0 and cos 3A = 0
⇒ cosec 2A = 2 and cos 3A = 0
⇒ cosec 2A = cosec 30° and cos 3A = cos 90°
⇒ 2A = 30° and 3A = 90°
⇒ A = 15° and A = 30°.

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Trigonometric Equation Problem and Solution
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Chapter 27: Trigonometrical Ratios of Standard Angles - Exercise 27.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.1 | Q 5.2
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