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Assignment:Find the solution set of inequality 2*(3/10+5229670409655129/90071992547409920) <= sin(alpha) <= 2*(26295227247788973/2251799813685248-2/5) .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
2 * ( 3 / 10 + 5229670409655129 / 90071992547409920 ) <= sin ( alpha ) (1)
sin ( alpha ) <= 2 * ( 26295227247788973 / 2251799813685248 - 2 / 5 ) (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):
alpha ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
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 (3)
The final solution set is :
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 *Note: Radian.Your problem has not been solved here? Please take a look at the hot problems !