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      Question

      If sec 2P = sin² 60⁰ + sec 60⁰ - cos² 30⁰, then

      determine the value of (√3tan P + cot² P)
      A 3 Correct Answer Incorrect Answer
      B 2 Correct Answer Incorrect Answer
      C 4 Correct Answer Incorrect Answer
      D 1 Correct Answer Incorrect Answer

      Solution

      ATQ,

      sec 2P = sin² 60⁰ + sec 60⁰- cos² 30⁰

      Or, sec 2P = (√3/2)² + sec 60⁰- (√3/2)²

      Or, sec 2P = sec 60⁰

      Or, 2P = 60

      Or, 'P' = 30

      So, required value = √3 X tan 30⁰ + cot² 30⁰

      = √3 X (1/√3) + (√3)²

      = 1 + 3 = 4

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