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Find A, if 0° ≤ A ≤ 90° and 2 cos2 A – 1 = 0

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Question

Find A, if 0° ≤ A ≤ 90° and 2 cos2 A – 1 = 0

Sum
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Solution

2 cos2 A – 1 = 0

`=> cos^2A = 1/2`

`=> cosA = 1/sqrt(2)`

We know `cos 45^@ = 1/sqrt(2)`

Hence, A = 45°

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Chapter 21: Trigonometrical Identities - TEST YOURSELF [Page 342]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 21 Trigonometrical Identities
TEST YOURSELF | Q 9. (i) | Page 342
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