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Prove the Following Identity : ( 1 − Cos 2 θ ) Sec 2 θ = Tan 2 θ - Mathematics

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Question

Prove the following identity :

`(1 - cos^2θ)sec^2θ = tan^2θ`

Sum

Solution

`(1 - cos^2θ)sec^2θ = tan^2θ`

Consider L.H.S = `sin^2θ1/cos^2θ`

= `tan^2θ` = RHS

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Chapter 21: Trigonometric Identities - Exercise 21.1

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 21 Trigonometric Identities
Exercise 21.1 | Q 1.02
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