cot4θ + cot2θ = 3 అయితే, cosec4θ – cosec2θ = ?

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RRB ALP Previous Paper 2 (Held On: 9 Aug 2018 Shift 2)
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  1. 2
  2. 0
  3. 1
  4. 3

Answer (Detailed Solution Below)

Option 4 : 3
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Detailed Solution

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cot4θ + cot2θ = 3 = cos4x/sin4x + cos2x/sin2x

 cos2x(cos2x + sin2x)/ sin4x = 3(క.సా.గు తీసుకోవడం)

⇒ cos2x/sin4x = 3 = cot2xcosec2x

∴ cosec4θ – cosec2θ = cosec2θ(cosec2θ – 1) = cosec2θcot2x = 3

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