Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality ln((sin(1/x)+lg(tanx+e3))/cosx) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         ln ( ( sin ( 1 / x ) + lg ( tan x + e 3 ) ) / cos x ) >0         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of lg
         tan x + e 3 > 0        (3 )
        From the definition field of ln
         ( sin ( 1 / x ) + lg ( tan x + e 3 ) ) / cos x > 0        (4 )

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    From inequality(1)：
         -1.505443 < x < -1.087832 或  -0.360426 < x < -0.151528 或  -0.151528 < x < 0.285804 或  x ＞ 23.614357
    From inequality(2)：
         x < 0 或  x ＞ 0
    From inequality(3)：
         x < -14.087421 或  -7.804236 < x < -4.712389 或  1.620542 < x < 4.712389 或  x ＞ 10.995574
    From inequality(4)：
         -7.80068 < x < -4.658248 或  -1.50822 < x < 1.621204 或  4.763714 < x < 7.905648 或  11.047413 < x < 14.189108

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    From inequalities (1) and (2)
         -1.505443 < x < -1.087832 或  -0.360426 < x < -0.151528 或  -0.151528 < x < 0 或  0 < x < 0.285804 或  x ＞ 23.614357    (5)
    From inequalities (3) and (5)
         x ＞ 0 或 或 或  -1.505443 < x < -1.087832 或  x ＞ 23.614357    (6)
    From inequalities (4) and (6)
         0 < x < 1.621204 或  4.763714 < x < 7.905648 或  11.047413 < x < 14.189108     (7)

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    The final solution set is :
         0 < x < 1.621204 或  4.763714 < x < 7.905648 或  11.047413 < x < 14.189108
    *Note: Radian.

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