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

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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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рдЕрдзреНрдпрд╛рдп 8: Trigonometric Identities - Exercises 2

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рдЖрд░.рдПрд╕. рдЕрдЧреНрд░рд╡рд╛рд▓ Mathematics [English] Class 10
рдЕрдзреНрдпрд╛рдп 8 Trigonometric Identities
Exercises 2 | Q 5

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`(cos^2 theta)/sin theta - cosec theta +  sin theta  = 0`


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Prove that: `cos^2 A + 1/(1 + cot^2 A) = 1`.


If tan θ + cot θ = 2, then tan2θ + cot2θ = ?


sin(45° + θ) – cos(45° – θ) is equal to ______.


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If a sinθ + b cosθ = c, then prove that a cosθ – b sinθ = `sqrt(a^2 + b^2 - c^2)`.


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