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      Question

      If (sin 3A sec 6A = 1) , then what will be the value of cos

      6A?
      A 1/2 Correct Answer Incorrect Answer
      B √3/2 Correct Answer Incorrect Answer
      D 1 Correct Answer Incorrect Answer

      Solution

      sin 3A sec 6A = 1

      Or, sin 3A = (1/sec 6A)

      We know that, sec P is the reciprocal of cos P

      Or, sin 3A = cos 6A

      We know that, cos P = sin (90 - P)

      Or, sin 3A = sin (90 - 6A)

      Or, 3A = 90 - 6A

      Or, 9A = 90

      So, 'A' = 10

      Required value = cos 6A = cos 60 o  = (1/2)

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