Asked by Vi
Let f(x) = l (sinx) - 1/2 l. <--- absolute value of sinx - 1/2
The maximum value attained by f is.
The maximum value attained by f is.
Answers
Answered by
Anonymous
Range of sin ( x ) = [ -1 , 1 ]
When sin ( x ) = - 1 then:
abs ( sin ( x ) - 1 / 2 ) = abs ( - 1 - 1 / 2 ) = abs ( - 1.5) = + OR - 1.5
When sin ( x ) = 1 then:
abs ( sin ( x ) - 1 / 2 ) = abs ( 1 - 1 / 2 ) = abs ( 0.5) = + OR - 0.5
The maximum value = 1.5
When sin ( x ) = - 1 then:
abs ( sin ( x ) - 1 / 2 ) = abs ( - 1 - 1 / 2 ) = abs ( - 1.5) = + OR - 1.5
When sin ( x ) = 1 then:
abs ( sin ( x ) - 1 / 2 ) = abs ( 1 - 1 / 2 ) = abs ( 0.5) = + OR - 0.5
The maximum value = 1.5
Answered by
Anonymous
Correction:
abs ( - 1.5) = 1.5
abs ( 0.5) = 0.5
abs ( - 1.5) = 1.5
abs ( 0.5) = 0.5
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