Questions
a
π
b
π2
c
2π
d
3π
detailed solution
Correct option is A
Given that f(x)=sinx+sin3xcosx+cos3x Clearly f(π+x)=sin(π+x)+sin(3(π+x))cos(π+x)+cos(3(π+x))=−sinx−sin3x−cosx−cos3x=sinx+sin3xcosx+cos3x=fx And f(2π+x)=sin(2π+x)+sin(3(2π+x))cos(2π+x)+cos(3(2π+x))=sinx+sin3xcosx+cos3x=fx∴π,2π are periods of f(x)∴π is the fundamental period of f(x)Talk to our academic expert!
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