Mathematics
语言:中文
Language:English

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 2 ≥(1+tanx)(1+tan(45-x)) ≥2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        2 ≥ ( 1 + tan x ) * ( 1 + tan ( 45 - x ) )         (1)
         ( 1 + tan x ) * ( 1 + tan ( 45 - x ) ) ≥2         (2)

    From inequality(1):
         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 inequality(2):
         -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 inequalities (1) and (2)
         -6.836279 ≤ x ≤ -6.836279 或  -3.694686 ≤ x ≤ -3.694686 或  -0.553093 ≤ x ≤ -0.553093 或  2.588499 ≤ x ≤ 2.588499 或  5.730092 ≤ x ≤ 5.730092 或  7.853982 ≤ x ≤ 7.853982    (3)

    The final solution set is :

         -6.836279 ≤ x ≤ -6.836279 或  -3.694686 ≤ x ≤ -3.694686 或  -0.553093 ≤ x ≤ -0.553093 或  2.588499 ≤ x ≤ 2.588499 或  5.730092 ≤ x ≤ 5.730092 或  7.853982 ≤ x ≤ 7.853982

    *Note: Radian.



Your problem has not been solved here? Please take a look at the  hot problems !


Return