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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 3/10+5229670409655129/90071992547409920 <= sin(alpha)/2 <= 26295227247788973/22517998136852480-7/10 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
3 / 10 + 5229670409655129 / 90071992547409920 <= sin ( alpha ) / 2 (1)
sin ( alpha ) / 2 <= 26295227247788973 / 22517998136852480 - 7 / 10 (2)
From inequality(1):
alpha ≤ -16.506194 或 -11.76814 ≤ alpha ≤ -10.223008 或 -5.484955 ≤ alpha ≤ -3.939823 或 0.79823 ≤ alpha ≤ 2.343362 或 7.081416 ≤ alpha ≤ 8.626548 或 alpha ≥ 13.364601
From inequality(2):
-16.917593 ≤ alpha ≤ -11.356741 或 -10.634408 ≤ alpha ≤ -5.073555 或 -4.351223 ≤ alpha ≤ 1.20963 或 1.931963 ≤ alpha ≤ 7.492815 或 8.215148 ≤ alpha ≤ 13.776001
From inequalities (1) and (2)
-16.917593 ≤ alpha ≤ -16.506194 或 -11.76814 ≤ alpha ≤ -11.356741 或 -10.634408 ≤ alpha ≤ -10.223008 或 -5.484955 ≤ alpha ≤ -5.073555 或 -4.351223 ≤ alpha ≤ -3.939823 或 0.79823 ≤ alpha ≤ 1.20963 或 1.931963 ≤ alpha ≤ 2.343362 或 7.081416 ≤ alpha ≤ 7.492815 或 8.215148 ≤ alpha ≤ 8.626548 或 13.364601 ≤ alpha ≤ 13.776001 (3)
The final solution set is :
-16.917593 ≤ alpha ≤ -16.506194 或 -11.76814 ≤ alpha ≤ -11.356741 或 -10.634408 ≤ alpha ≤ -10.223008 或 -5.484955 ≤ alpha ≤ -5.073555 或 -4.351223 ≤ alpha ≤ -3.939823 或 0.79823 ≤ alpha ≤ 1.20963 或 1.931963 ≤ alpha ≤ 2.343362 或 7.081416 ≤ alpha ≤ 7.492815 或 8.215148 ≤ alpha ≤ 8.626548 或 13.364601 ≤ alpha ≤ 13.776001 *Note: Radian.Your problem has not been solved here? Please take a look at the hot problems !