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Assignment:Find the solution set of inequality x+arcsin(cos(x)/1.516) >41 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x + arcsin ( cos ( x ) / 1.516 ) >41 (1)
From the definition field of arcsin
cos ( x ) / 1.516 ≥ -1 (2 )
cos ( x ) / 1.516 ≤ 1 (3 )
From inequality(1):
x > 41.532729
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x > 41.532729 (4)
From inequalities (3) and (4)
x > 41.532729 (5)
The final solution set is :
x > 41.532729 *Note: Radian.Your problem has not been solved here? Please take a look at the hot problems !