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f(x)=cos^(2)x+cos^(2)(pi/3+x)-cosx*cos(x...

`f(x)=cos^(2)x+cos^(2)(pi/3+x)-cosx*cos(x+pi/3)` is

A

an odd function

B

an even function

C

a periodic function

D

f(0)=f(1)

Text Solution

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The correct Answer is:
B, C, D
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Knowledge Check

  • f(x)= sin^(2)x + sin^(2) (x + (pi)/(3)) + cos x cos (x + (pi)/(3)) then f'(x) = ………

    A
    1
    B
    `cos^(2)x`
    C
    0
    D
    sin 2x

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