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Prove the following identities: 1+sinA1-sinA=cosA1-sinA - Mathematics

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Question

Prove the following identities:

`sqrt((1 + sinA)/(1 - sinA)) = cosA/(1 - sinA)`

Sum

Solution

`sqrt((1 + sinA)/(1 - sinA))`

= `sqrt((1 + sinA)/(1 - sinA) xx (1 - sinA)/(1 - sinA))`

= `sqrt((1 - sin^2A)/(1 - sinA)^2)`

= `sqrt(cos^2A/((1 - sinA)^2)`

= `cosA/(1 - sinA)`

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

APPEARS IN

Selina Mathematics [English] Class 10 ICSE
Chapter 21 Trigonometrical Identities
Exercise 21 (E) | Q 1.09 | Page 332
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