cot (A - B) =  ব্য়বহার করে, cot 15° এর মান নির্ণয় করুন।

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)
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  1. 2 + √3
  2. 2 - √3
  3. √3 - 1
  4. √3 + 1

Answer (Detailed Solution Below)

Option 1 : 2 + √3
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Detailed Solution

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গণনা: 

cot (A - B) = 

⇒ Cot15° = Cot(45° - 30°)

⇒ Cot(45° - 30°) = Cot45°Cot30° + 1/Cot30° - Cot45° 

⇒ 1 × √3 + 1/√3 - 1

⇒ √3 + 1/√3 - 1

⇒ √3 + 1/√3 - 1 ×  √3 + 1/√3 + 1

⇒ (√3 + 1)2/2 

⇒ (3 + 1 + 2√3)/2

⇒ (2√3 + 4)/2

⇒ √3 + 2

∴ সঠিক উত্তর হল √3 + 2

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