যদি cos θ - sin θ = 0 হয়, তাহলে (sin8 θ + cos8 θ) এর মান হবে:

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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 11 Aug, 2023 Shift 3)
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Answer (Detailed Solution Below)

Option 1 :
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SSC CHSL General Intelligence Sectional Test 1
25 Qs. 50 Marks 18 Mins

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প্রদত্ত

cos θ - sin θ = 0

ব্যবহৃত ধারণা

cos θ = sin θ = 1/√2 (θ = 45°)

গণনা

cos θ - sin θ = 0

cos θ = sin θ (θ = 45°)

(sin8 θ + cos8 θ) = sin8 θ + sin8 θ

⇒ 2sin8 θ

⇒ 2(1/√2)8

⇒ 2/16

= 1/8

উত্তর হল 1/8.

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