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Prove that: cosA1+sinA=secA-tanA

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Question

Prove that:

`cosA/(1 + sinA) = secA - tanA`

Sum
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Solution

`cosA/(1+sinA)`

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

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

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

= `(1-sinA)/cosA`

= sec A – tan A

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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 7. (iii) | Page 342
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