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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

#### 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

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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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