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Assignment:Find the solution set of inequality 0.358061005000000*2 <= sin(a) <= 0.767742669129844*2 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0.358061005000000 * 2 <= sin ( a ) (1)
sin ( a ) <= 0.767742669129844 * 2 (2)
From inequality(1):
a ≤ -16.506194 或 -11.76814 ≤ a ≤ -10.223008 或 -5.484955 ≤ a ≤ -3.939823 或 0.79823 ≤ a ≤ 2.343362 或 7.081416 ≤ a ≤ 8.626548 或 a ≥ 13.364601
From inequality(2):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
a ≤ -16.506194 或 -11.76814 ≤ a ≤ -10.223008 或 -5.484955 ≤ a ≤ -3.939823 或 0.79823 ≤ a ≤ 2.343362 或 7.081416 ≤ a ≤ 8.626548 或 a ≥ 13.364601 (3)
The final solution set is :
a ≤ -16.506194 或 -11.76814 ≤ a ≤ -10.223008 或 -5.484955 ≤ a ≤ -3.939823 或 0.79823 ≤ a ≤ 2.343362 或 7.081416 ≤ a ≤ 8.626548 或 a ≥ 13.364601 *Note: Radian.Your problem has not been solved here? Please take a look at the hot problems !