যদি 2 sinθ + 2 sin2θ = 2 হয়, তাহলে 2 cos4θ + 2 cos2θ এর মান হল:

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 3)
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  1. 4
  2. 2
  3. 1
  4. 0

Answer (Detailed Solution Below)

Option 2 : 2
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Detailed Solution

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প্রদত্ত:

2 sinθ + 2 sin2θ = 2

অনুসৃত ধারণা:

sin2 θ + cos2 θ = 1

গণনা:

2 sinθ + 2 sin2θ = 2

⇒ sinθ + sin2θ = 1

⇒ sin θ + 1 - cos2 θ = 1

⇒ sin θ = cos2 θ

⇒ cos4 θ = sin2 θ

তাই,

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

⇒ 2

∴ প্রয়োজনীয় উত্তর হল 2 

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