Home
Class 12
MATHS
The period of sin(pi/4)x+cos(pi/2)x+cos(...

The period of `sin(pi/4)x+cos(pi/2)x+cos(pi/3)x` is

A

8

B

12

C

24

D

Non- periodic

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    MOTION|Exercise Exercise - 2 (Level-I)|33 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 2 (Level-II)|6 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 4 | Level-II|7 Videos

  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos

  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos

Similar Questions

Explore conceptually related problems

The period of sin x*cos((pi)/(4)-x) is

The period of sin((pi x)/(2))+cos((pi x)/(3)) is

The period of cos x*cos((pi)/(3)+x)*cos((pi)/(3)-x) is

Identify the correct statement The period of f(x)=sin cos((x)/(2))+cos(sin x) is 2 pi

The period of f(x)=(sin(pi x))/(2)+2(cos(pi x))/(3)-(tan(pi x))/(4) is

The period of f(x)=sin((pi x)/(n-1))+cos((pi x)/(n)),n in Z,n>2

The value of the expression cos((pi)/(2)-x)cos((3 pi)/(2)+x)-cos(pi-x)cos(2 pi-x)

Prove the following: (i) cos((3pi)/(4)+x)-cos((3pi)/(4)-x)=-sqrt2 sin x (ii) cos"((pi)/(4)+x)+cos((pi)/(4)-x)=sqrt2 cos x .

sin(pi/3-x)cos(pi/6+x)+cos(pi/3-x)sin(pi/6+x)=1

MOTION-FUNCTION-Exercise - 1 ( JEE Main)
  1. Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then

    Text Solution

    |

  2. Fundamental period of f(x)=sec(sin x) is

    Text Solution

    |

  3. The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

    Text Solution

    |

  4. Let f(x)=x(2-x), 0<=x<=2. If the definition of f is extended over the ...

    Text Solution

    |

  5. The peroid of the function f(x) =(|sinx|-|cosx|)/(|sin x + cosx|) i...

    Text Solution

    |

  6. Which of the following is implicit functions -

    Text Solution

    |

  7. I fy=f(x) satisfies the condition f(x+1/x)=x^2+1/(x^2)(x!=0) then f(x...

    Text Solution

    |

  8. If f(x) = a(x^n +3), f(1) = 12, f(3) = 36, then f(2) is equal to

    Text Solution

    |

  9. Let f:(2,4)->(1,3) be a function defined by f(x)=x-[x/2], thenf^(-1)(x...

    Text Solution

    |

  10. Let f(x) = (x+1)^(2) - 1, (x ge - 1). Then, the set S = {x : f(x) = f^...

    Text Solution

    |

  11. A function f : R->R satisfies the condition x^2f(x)+f(1-x)=2x-x^4. The...

    Text Solution

    |

  12. Let f(x) = abs(x – 1). Then :

    Text Solution

    |

  13. Let g(x) = 1 + x – [x] and f(x)={:{(-1,if,xlt0),(0,if, x=0),(1,if,x gt...

    Text Solution

    |

  14. Let f: [0, 1] to [1, 2] defined as f(x) = 1 + x and g : [1, 2] to [0, ...

    Text Solution

    |

  15. Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof)...

    Text Solution

    |

  16. f(x) = |x-1|, f: R^+->R, g(x) = e^x, g:[-1,oo)->R. If the function fog...

    Text Solution

    |

  17. Number of solution of 6 abscosx = x " in"[ 0.2pi] is

    Text Solution

    |

  18. The graph of the function y = g(x) is shown. The number of solutions o...

    Text Solution

    |

  19. If f(x) = sin^44x - cos^44 &g(x) = sin x + cosx. Then general solution...

    Text Solution

    |

  20. Which of the following is not Bounded function

    Text Solution

    |