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Prove the Following Trigonometric Identities. Cosec Theta Sqrt(1 - Cos^2 Theta) = 1 - Mathematics

Prove the following trigonometric identities.

`cosec theta sqrt(1 - cos^2 theta) = 1`

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Solution

We know that `sin^2 theta + cos^2 theta = 1`

So,

`cosec theta sqrt(1 - cos^2 theta) = cosec theta sqrt (sin^2 theta)`

`= cosec theta sin theta`

`1/ sin theta xx sin theta`

= 1

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 11 Trigonometric Identities
Exercise 11.1 | Q 4 | Page 43
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