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Prove the following trigonometric identities: (1 – cos^2 A) cosec^2 A = 1

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प्रश्न

Prove the following trigonometric identities:

(1 – cos2 A) cosec2 A = 1

प्रमेय
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उत्तर

We know `sin^2 A + cos^2 A = 1`

`sin^2 A = 1 - cos^2 A`

`=> sin^2 A . cosec^2 A`

`=> sin^2 A . 1/(sin^2 A) = 1`

∴ L.H.S = R.H.S

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अध्याय 11: Trigonometric Identities - EXERCISE 11.1 [पृष्ठ ११.३४]

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आर.डी. शर्मा Mathematics [English] Class 10
अध्याय 11 Trigonometric Identities
EXERCISE 11.1 | Q 1. | पृष्ठ ११.३४

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