जर 2 sinθ + 2 sin2θ = 2 असेल, तर 2 cos4θ + 2 cos2θ  चे मूल्य आहे:

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  1. 4
  2. 2
  3. 1
  4. 0

Answer (Detailed Solution Below)

Option 2 : 2
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दिलेल्याप्रमाणे:

2 sinθ + 2 sin2θ = 2

वापरलेली संकल्पना:

sin2 θ + cos2 θ = 1

गणना:

2 sinθ + 2 sin2θ = 2

⇒ sinθ + sin2θ = 1

⇒ sin θ + 1 - cos2 θ = 1

⇒ sin θ = cos2 θ

⇒ cos4 θ = sin2 θ

तर,

2 cos4θ + 2 cos2θ = 2 sin2 θ + 2 sin θ

⇒ 2

∴ आवश्यक उत्तर 2 आहे.

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