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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)

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The correct Answer is:
B, C, D
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ARIHANT MATHS-FUNCTIONS-Exercise (More Than One Correct Option Type Questions)
  1. Which of the following fuunction(s) is/are transcendal?

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  2. Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1).x then

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

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  4. If the following functions are defined from [-1,1]to[-1,1], select tho...

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  5. Let f(x)={{:(x^(2)-4x+3",", x lt 3),(x-4",", x ge 3):} and g(x)={{:(...

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  6. If f(x)=x^(2)-2ax+a(a+1),f:[a,infty) rarr [a,infty). If one of the sol...

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  7. The function 'g' defined by g(x)= sin(sin^(-1)sqrt({x}))+cos(sin^(-1)s...

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  8. The graph of f:R rarr R defined by y=f(x) is symmetric with respect to...

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  9. Let f be the continuous and differentiable function such that f(x)=f(2...

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  10. Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then

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  11. Let A={1,2,3,4,5}, B={1,2,3,4) and f:A rarr B is a function, the

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  12. In a function 2f(x)+ xf(1/x)-2f(|sqrt2sin(pi(x+1/4))|)=4cos^2[(pix)/2]...

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  13. If f(x) is a differntiable function satisfying the condition f(100x)=x...

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  14. If [x] denotes the greatest integer function then the extreme values o...

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  15. Which of the following is/are periodic?

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  16. If f(x) is a polynomial of degree n such that f(0)=0 , f(x)=1/2,......

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  17. Let f:R rarr R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3), fora...

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  18. Let f(x)=1-x-x^3.Find all real values of x satisfying the inequality,...

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  19. If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^2 y-y^3) AA x, y i...

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  20. lf the fundamental period of function f(x)=sinx + cos(sqrt(4-a^2))x is...

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