নীচের রাশিটির মান নির্ণয় করুন:

12(sin4 θ  + cos4 θ) + 18(sinθ + cos6 θ) + 78 sin2 θ cos2 θ

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 3)
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  1. 30
  2. 40
  3. 10
  4. 20

Answer (Detailed Solution Below)

Option 1 : 30
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SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

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অনুসৃত​ ধারণা:

sin 90° = 1, cos 90° = 0

গণনা:

θ = 90° মান বসিয়ে পাই,

12(sin4 θ  + cos4 θ) + 18(sinθ + cos6 θ) + 78 sin2 θ cos2 θ

⇒ 12(sin4 90°  + cos4 90°) + 18(sin90° + cos6 90°) + 78 sin90° cos2 90°

⇒ 12 × 1 + 18 × 1 = 30

∴ সঠিক উত্তর হল 1

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