Answer (Detailed Solution Below)

Option 3 : 1
Free
ST 1: B.Ed. Common Entrance (Teaching Aptitude)
15 Qs. 15 Marks 15 Mins

Detailed Solution

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ধারণা :

  • cot A = 1/ tan A      
  • cos A = 1/ sec A
  • sin A = cos (90° - A)
  • cos2 A + sin2 A = 1
  • tan A = cot (90° - A)

গণনা :

     

⇒ cot 18° (cot 72° . cos2 22° + cot 72° . cos2 68°)      (∵ cot A = 1/ tan A and cos A = 1/ sec A)

⇒ cot 18° [cot 72° (cos2 22° + cos2 68°)]

⇒ cot 18° . cot 72° (cos2 22° + sin2 22°)      [∵ sin A = cos (90° - A)]

⇒ cot 18° . cot 72°      (∵ cos2 A + sin2 A = 1)

⇒ cot 18° . tan 18°      [∵ tan A = cot (90° - A)]

⇒ 1

সুতরাং, = 1

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