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If `( Cosec Theta + Cot Theta ) =M and ( Cosec Theta - Cot Theta ) = N, ` Show that Mn = 1.

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If `( cosec theta + cot theta ) =m and ( cosec theta - cot theta ) = n, ` show that mn = 1.

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We have `(cosec  theta + cot theta ) = m      ............(i)`

Again ,`( cosec theta - cot theta )=n                 ............(ii)`

ЁЭСБЁЭСЬЁЭСд, ЁЭСЪЁЭСвЁЭСЩЁЭСбЁЭСЦЁЭСЭЁЭСЩЁЭСжЁЭСЦЁЭСЫЁЭСФ (ЁЭСЦ)ЁЭСОЁЭСЫЁЭСС (ЁЭСЦЁЭСЦ), ЁЭСдЁЭСТ ЁЭСФЁЭСТЁЭСб:

`(cosec theta + cot theta ) xx ( cosec theta - cot theta ) = mn`

= >`cosec  ^2 theta - cot^2  theta =mn`

= >1= mn     `[тИ╡ cosec ^2 theta - cot^2 theta =1]`

∴  mn =1

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