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Prove the following identities: 1-sin2A1+cosA=cosA - Mathematics

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Question

Prove the following identities:

`1 - sin^2A/(1 + cosA) = cosA`

Sum

Solution

`1-sin^2A/(1 + cosA)`

 = `(1 + cosA - sin^2A)/(1 + cosA)`

= `(cosA + cos^2A)/(1 + cosA)`

= `(cosA(1 + cosA))/(1 + cosA)`

= cos A

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Chapter 21: Trigonometrical Identities - Exercise 21 (E) [Page 332]

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Selina Mathematics [English] Class 10 ICSE
Chapter 21 Trigonometrical Identities
Exercise 21 (E) | Q 1.03 | Page 332
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