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      Question

      If cos q = 5/13 , then the value of tan2q +

      sec2q is equal to:
      A 233/25 Correct Answer Incorrect Answer
      B 323/25 Correct Answer Incorrect Answer
      C 313/25 Correct Answer Incorrect Answer
      D 303/25 Correct Answer Incorrect Answer

      Solution

      tan2q + sec2q sec² q - 1 + sec² q = 2sec² q - 1 Given sec q = 13/5 = (2 x 169)/25 - 1 =(338/25)-1   = (338-25)/25 = 313/25 The value of tan² q + sec² q is 313/25.

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