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[ 1/1Inequality]
Assignment:Find the solution set of inequality tan((sinx+lnx+e3)/cosx) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
tan ( ( sin x + ln x + e 3 ) / cos x ) >0 (1)
From the definition field of ln
x > 0 (2 )
From inequality(1):
0.179521 < x < 0.33166 或 0.456273 < x < 0.555107 或 0.635525 < x < 0.702622 或 0.702622 < x < 0.852344 或 0.955393 < x < 1.031456 或 1.031456 < x < 1.122577
From inequality(2):
x > 0
From inequalities (1) and (2)
0.179521 < x < 0.33166 或 0.456273 < x < 0.555107 或 0.635525 < x < 0.702622 或 0.702622 < x < 0.852344 或 0.955393 < x < 1.031456 或 1.031456 < x < 1.122577 (3)
The final solution set is :
0.179521 < x < 0.33166 或 0.456273 < x < 0.555107 或 0.635525 < x < 0.702622 或 0.702622 < x < 0.852344 或 0.955393 < x < 1.031456 或 1.031456 < x < 1.122577 Your problem has not been solved here? Please take a look at the hot problems !