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      Question

      If sec x + tan x = 11 then find secx?

      A 1 Correct Answer Incorrect Answer
      B 61/9 Correct Answer Incorrect Answer
      C 61/11 Correct Answer Incorrect Answer

      Solution

      we know that sec2 x - tan2 x = 1 or (sec x + tan x)(sec x - tan x)=1 or sec x - tan x = 1/(sec x + tan x) = 1/11 now we have sec x + tan x = 11--- (1) & sec x - tan x = 1/11 ----- (2) Solving these 2 equations, we will get sec x = 61/11

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