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Prove the Following Identities, Where the Angles Involved Are Acute Angles for Which the Expressions Are Defined. - CBSE Class 10 - Mathematics

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Question

Prove the following identities, where the angles involved are acute angles for which the expressions are defined.

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

Solution

L.H.S

`= sqrt((1+sinA)/(1-sinA))`

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

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

`=(1+sinA)/cosA = secA + tan A`

=R.H.S

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 8: Introduction to Trigonometry
Ex. 8.40 | Q: 5.06 | Page no. 194
Solution Prove the Following Identities, Where the Angles Involved Are Acute Angles for Which the Expressions Are Defined. Concept: Trigonometric Identities.
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