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Prove that `Cosa/(1+Sina)=Seca-tana` - Mathematics

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Prove that

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

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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`

= secA - tanA

Concept: Trigonometric Identities
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 21 Trigonometrical Identities
Exercise 21 (E) | Q 10.03 | Page 333
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