Question
Download Solution PDFযদি 2 sinθ + 2 sin2θ = 2 হয়, তাহলে 2 cos4θ + 2 cos2θ এর মান হল:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
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
Last updated on Jul 10, 2025
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