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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 1.99 <(1+tanx)(1+tan(45-x)) <2.01 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        1.99 < ( 1 + tan x ) * ( 1 + tan ( 45 - x ) )         (1)
         ( 1 + tan x ) * ( 1 + tan ( 45 - x ) ) <2.01         (2)

    From inequality(1):
         -6.836279 < x < -4.712389 或  -3.694686 < x < -1.570796 或  -0.553093 < x < 1.570796 或  2.588499 < x < 4.712389 或  5.730092 < x < 7.853982
    From inequality(2):
         x < -6.836279 或  -4.712389 < x < -3.694686 或  -1.570796 < x < -0.553093 或  1.570796 < x < 2.588499 或  4.712389 < x < 5.730092 或  x > 7.853982

    From inequalities (1) and (2)
         或  x < -6.836279 或  -4.712389 < x < -3.694686 或  -1.570796 < x < -0.553093     (3)

    The final solution set is :

         或  x < -6.836279 或  -4.712389 < x < -3.694686 或  -1.570796 < x < -0.553093

    *Note: Radian.



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