প্রদত্ত রাশিটির মান নির্ণয় করুন:

\(\frac{4}{3}\) tan2 45° + 3 cos2 30° - 2 sec2 30° - \(\frac{3}{4}\) cot2 60° 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 4)
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  1. \(\frac{2}{3}\)
  2. \(\frac{3}{2}\)
  3. \(\frac{\sqrt2}{3}\)
  4. \(\frac{3}{\sqrt2}\)

Answer (Detailed Solution Below)

Option 1 : \(\frac{2}{3}\)
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Detailed Solution

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গণনা:

 4/3 tan2 45° + 3 cos2 30° - 2 sec2 30° - 3/4 cot60°

⇒ 4 /3 + 3 × (√3/2)2 - 2 (2/√3)2 - (3 / 4) ×  (1 /3)

⇒ 4 /3 + 3 ×3 / 4 - 2 × 4/3 - 1 /4

⇒ 4 /3 +9 / 4 - 8/3 - 1 /4

⇒ 2 - 4/3 = 2/3

∴ সঠিক বিকল্পটি হল 1

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