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If = sin2 60° + 4 tan245° - cosec260°, then the value of k (correct to two decimal places) is :

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 3)
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  1. 5.55
  2. -6.83
  3. -5.58
  4. 6.83

Answer (Detailed Solution Below)

Option 2 : -6.83
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Detailed Solution

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Given: 

= sin2 60° + 4 tan245° - cosec260°

Concept used:

Calculation:

= sin2 60° + 4 tan245° - cosec260°

⇒  = 3/4 + 4 × 1 - 4/3

⇒  = 41/12

⇒ k = -41/6

⇒ k ≈ -6.83

∴ The value of k is -6.83.

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