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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 log(sinx,cosx) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( sin x , cos x ) >0 (1)
From the definition field of log
sin x > 0 (2 )
cos x > 0 also ≠ 1 (3 )
From inequality(1):
x > √315827341/√500000
From inequality(2):
x < -15.707963 或 -12.566371 < x < -9.424778 或 -6.283185 < x < -3.141593 或 0 < x < 3.141593 或 6.283185 < x < 9.424778 或 x > 12.566371
From inequality(3):
-14.137167 < x < -12566371/1000000 或 -12566371/1000000 < x < -10.995574 或 -7.853982 < x < -3141593/500000 或 -3141593/500000 < x < -4.712389 或 -1.570796 < x < 0 或 0 < x < 1.570796 或 4.712389 < x < 1256637/200000 或 1256637/200000 < x < 7.853982 或 10.995574 < x < 1256637/100000 或 1256637/100000 < x < 14.137167
From inequalities (1) and (2)
x > √315827341/√500000 (4)
From inequalities (3) and (4)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (5)
The final solution set is :
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! *Note: Radian.Your problem has not been solved here? Please take a look at the hot problems !