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Assignment:Find the solution set of inequality 344*8cosxcosx >800sinxcosx-25*9.8 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
344 * 8 * cos x * cos x >800 * sin x * cos x - 25 * 9.8 (1)
800 * sin x * cos x - 25 * 9.8 >0 (2)
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x < -8.183591 或 -5.953576 < x < -5.041999 或 -2.811983 < x < -1.900406 或 0.32961 < x < 1.241187 或 3.471202 < x < 4.382779 或 x > 6.612795
From inequalities (1) and (2)
x < -8.183591 或 -5.953576 < x < -5.041999 或 -2.811983 < x < -1.900406 或 0.32961 < x < 1.241187 或 3.471202 < x < 4.382779 或 x > 6.612795 (3)
The final solution set is :
x < -8.183591 或 -5.953576 < x < -5.041999 或 -2.811983 < x < -1.900406 或 0.32961 < x < 1.241187 或 3.471202 < x < 4.382779 或 x > 6.612795 *Note: Radian.Your problem has not been solved here? Please take a look at the hot problems !