Find the value of tan2 60° + 3 cos2 30° − 2 sec2 30° − cot2 60°.

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 3)
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  1. 2.33
  2. 2.01
  3. 1.33
  4. 3.33

Answer (Detailed Solution Below)

Option 3 : 1.33
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Calculation:

 tan2 60° + 3 cos2 30° − 2 sec2 30° − cot2 60°.

⇒ 2/3 × 3 + 3 × 3/4 - 2 × 4/3 - 3/4 × 1/3

⇒ 2 + 9/4 - 8/3 - 1/4

⇒ 4 - 8/3 

⇒ 4/3 = 1.33

∴ The correct option is 3

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