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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 0 <(cosx)^2 <1/2 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 < ( cos x ) ^ 2 (1)
( cos x ) ^ 2 <1 / 2 (2)
From inequality(1):
x < -3926991/500000 或 -3926991/500000 < x < -4712389/1000000 或 -4712389/1000000 < x < -1570797/1000000 或 -1570797/1000000 < x < 1570797/1000000 或 1570797/1000000 < x < 4712389/1000000 或 4712389/1000000 < x < 3926991/500000 或 x > 3926991/500000
From inequality(2):
x < -7.068583 或 -5.497787 < x < -3.926991 或 -2.356194 < x < -0.785398 或 0.785398 < x < 2.356194 或 3.926991 < x < 5.497787 或 x > 7.068583
From inequalities (1) and (2)
x < -3926991/500000 或 -3926991/500000 < x < -7.068583 或 -5.497787 < x < -4712389/1000000 或 -4712389/1000000 < x < -3.926991 或 -2.356194 < x < -1570797/1000000 或 -1570797/1000000 < x < -0.785398 或 0.785398 < x < 1570797/1000000 或 1570797/1000000 < x < 2.356194 或 3.926991 < x < 4712389/1000000 或 4712389/1000000 < x < 5.497787 或 7.068583 < x < 3926991/500000 或 x > 3926991/500000 (3)
The final solution set is :
x < -3926991/500000 或 -3926991/500000 < x < -7.068583 或 -5.497787 < x < -4712389/1000000 或 -4712389/1000000 < x < -3.926991 或 -2.356194 < x < -1570797/1000000 或 -1570797/1000000 < x < -0.785398 或 0.785398 < x < 1570797/1000000 或 1570797/1000000 < x < 2.356194 或 3.926991 < x < 4712389/1000000 或 4712389/1000000 < x < 5.497787 或 7.068583 < x < 3926991/500000 或 x > 3926991/500000 *Note: Radian.Your problem has not been solved here? Please take a look at the hot problems !