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

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Question

Prove the following identity :

`(1 - sin^2θ)sec^2θ = 1`

Sum

Solution

`(1 - sin^2θ)sec^2θ = 1`

Consider L.H.S = `cos^2θsec^2θ`

= `cos^2θ xx 1/cos^2θ = 1`

= R.H.S

Hence proved.

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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 1.01
ICSE Mathematics [English] Class 10
Chapter 18 Trigonometry
Exercise 2 | Q 62.3
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