Q.

If f(x) is areal-valued function defined as fx=ln1-sinx, then the graph of  f(x) is

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a

symmetric about the line x=π

b

symmetric about the y-axis

c

symmetric about the tine  x=π2

d

symmetric about the origin

answer is C.

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Detailed Solution

fπ2-x=ln1-cosx    and  fπ2+x=ln1-cosx    Thus,   fπ2+x=fπ2-x     Thus,  fx  is  symmetrical   about   line  x=π2.
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If f(x) is areal-valued function defined as fx=ln1-sinx, then the graph of  f(x) is