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Assignment:Find the solution set of inequality arccos(v)-v*sqrt(1-v^2) >0.4 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
arccos ( v ) - v * sqrt ( 1 - v ^ 2 ) >0.4 (1)
From the definition field of arccos
x ≥ -1 (2 )
x ≤ 1 (3 )
From the definition field of √
1 - x ^ 2 ≥ 0 (4 )
From inequality(1):
-1 < v < 0.629992
From inequality(2):
v ≥ -1
From inequality(3):
v ≤ 1
From inequality(4):
-1 ≤ v ≤ 1
From inequalities (1) and (2)
-1 < v < 0.629992 (5)
From inequalities (3) and (5)
-1 < v < 0.629992 (6)
From inequalities (4) and (6)
-1 < v < 0.629992 (7)
The final solution set is :
-1 < v < 0.629992 Your problem has not been solved here? Please take a look at the hot problems !