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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 sinx
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
sin x < cos x (1)
cos x < tan x (2)
From inequality(1):
-14.922565 < x < -11.780972 或 -8.63938 < x < -5.497787 或 -2.356194 < x < 0.785398 或 3.926991 < x < 7.068583 或 10.210176 < x < 13.351769
From inequality(2):
x < -7.853982 或 -5.616946 < x < -4.712389 或 -3.807832 < x < -1.570796 或 0.666239 < x < 1.570796 或 2.475353 < x < 4.712389 或 x > 6.949425
From inequalities (1) and (2)
-14.922565 < x < -11.780972 或 -8.63938 < x < -7.853982 或 -5.616946 < x < -5.497787 或 x < -7.853982 或 -2.356194 < x < -1.570796 或 0.666239 < x < 0.785398 或 -3.807832 < x < -1.570796 或 3.926991 < x < 4.712389 或 6.949425 < x < 7.068583 或 10.210176 < x < 13.351769 (3)
The final solution set is :
-14.922565 < x < -11.780972 或 -8.63938 < x < -7.853982 或 -5.616946 < x < -5.497787 或 x < -7.853982 或 -2.356194 < x < -1.570796 或 0.666239 < x < 0.785398 或 -3.807832 < x < -1.570796 或 3.926991 < x < 4.712389 或 6.949425 < x < 7.068583 或 10.210176 < x < 13.351769 *Note: Radian.Your problem has not been solved here? Please take a look at the hot problems !