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      Question

      src="https://www.ixambee.com/questionimage/Chapter/1709968045-21.JPG" alt="" />  what is the value of (cosec² + sec)
      A 9/2 Correct Answer Incorrect Answer
      B 4/3 Correct Answer Incorrect Answer
      C 8/3 Correct Answer Incorrect Answer
      D 5/2 Correct Answer Incorrect Answer

      Solution

      1-tan2 =1/2 tan²   = 1/2 1 + tan²   = 3/2   sec2   = 3/2 .            (1)   cos2   = 2/3 1-cos2   = 1/3   sin2   = 1/3   cosec2   = 3             . (2) Hence (1) + (2), (cosec² + sec² )=3+3/2 =9/2 .. The required value is 9/2.

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