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What is the Value of Sin 2 θ + 1 1 + Tan 2 θ - Mathematics

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Question

What is the value of \[\sin^2 \theta + \frac{1}{1 + \tan^2 \theta}\]

Answer in Brief

Solution

We have, 

`sin^2 θ+1/(1+tan^2θ)= sin^2θ+1/(sqc^2θ)` 

=` sin^2θ+(1/secθ)^2`  

=` sin^2 θ+cos^2θ` 

=` 1`

 

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Chapter 11: Trigonometric Identities - Exercise 11.3 [Page 55]

APPEARS IN

RD Sharma Mathematics [English] Class 10
Chapter 11 Trigonometric Identities
Exercise 11.3 | Q 4 | Page 55

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