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Question

The range of f(x)=(1cos x)(1cos)(1cos x).... is

A
[0,1]
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B
[0,12]
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C
[0,2]
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D
[12,1]
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Solution

The correct option is C [0,2]
f(x)=(1cosx)(1cosx)(1cosx)=yy2=(1cosx)(1cosx)(1cosx)(1cosx)y2=(1cosx)yy=1cosx
Range is given as 1[1,1]=[0,2]

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