cot 30° - \(1\over2\) × cosec 60° = 

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RRB ALP Fitter 21 Jan 2019 Official Paper (Shift 2)
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  1. \(\sqrt2\over\sqrt3\)
  2. \(2\over3\)
  3. \(2\over\sqrt3\)
  4. \(\sqrt2\over3\)

Answer (Detailed Solution Below)

Option 3 : \(2\over\sqrt3\)
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Detailed Solution

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Given:

cot 30° - \(1\over2\) × cosec 60° 

Calculation:

cot 30° - \(1\over2\) × cosec 60° 

√3 - (1/2) × (2/√3)

√3 - 1/√ 3

⇒ (3 - 1)/√ 3

⇒ 2/√ 3

∴ The value of k is 2/√ 3.

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