Q.
If f(x) is a real-valued function defined as f(x)=ln(1−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 line x=π2
d
symmetric about the origin
answer is C.
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Detailed Solution
fπ2−x=ln(1−cosx) and fπ2+x=ln(1−cosx) Thus, fπ2+x=fπ2−x Thus, f(x) is symmetrical about line x=π2.
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