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Prove the Following Identity : √ Cos E C 2 Q − 1 = Cosq Cosecq - Mathematics

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प्रश्न

Prove the following identity : 

`sqrt(cosec^2q - 1) = "cosq  cosecq"`

योग

उत्तर

`sqrt(cosec^2q - 1) = "cosq  cosecq"`

`sqrt(cosec^2q - 1) = sqrt(cot^2q)  (Q cosec^2q - 1 = cot^2q)`

 = `cotq = cosq/sinq = cosq . 1/sinq`

 = `"cosq  cosecq"`

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अध्याय 21: Trigonometric Identities - Exercise 21.1

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 21 Trigonometric Identities
Exercise 21.1 | Q 4.01
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