Home
Class 11
MATHS
The period of sin((pi{x})/12)+cos((pi x)...

The period of `sin((pi{x})/12)+cos((pi x)/8)+tan((pi{x})/3)`

A

12

B

4

C

3

D

144

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos
  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

Find the period of the function f(x) = sin((pi x)/3) + cos ((pi x)/2) .

The value of cos ((3pi)/2 + x)cos (2pi + x){cot ((3pi)/2 - x) + cot (2pi + x)} is-

The value of tan(pi/3)+2tan((2pi)/3)+4cot((4pi)/3)+8tan((8pi)/3) is

The period of function 2^({x}) +sin pi x+3^({x//2})+cos pi x (where {x} denotes the fractional part of x) is

If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (dy)/(dx)=a x+b , then the value of a+b is (a) cot(pi/8) (b) cot((5pi)/12) (c) tan((5pi)/12) (d) tan((5pi)/8)

If tan x = 3/4, pi lt x lt (3pi)/(2), find the value of sin (x)/(2), cos "" x/2 and tan "" x/2.

Prove that : "sin"(pi)/(3) "tan"(pi)/(6) +"sin"(pi)/(2) "cos"(pi)/(3) =2 "sin"^(2)(pi)/(4) .

Prove that the value of each the following determinants is zero: |sin^2(x+(3pi)/2)sin^2(x+(5pi)/2)sin^2(x+(7pi)/2)| |sin^.(x+(3pi)/2)sin^.(x+(5pi)/2)sin^.(x+(7pi)/2) | |sin^.(x-(3pi)/2)sin^.(x-(5pi)/2)sin^.(x-(7pi)/2)|

The period of the function f(x)=c^((sin^2x+sin^(2(x+pi/3))+cosxcos(x+pi/3)) is (where c is constant) 1 (b) pi/2 (c) pi (d) cannot be determined

The maximum value of [sin (x+(pi)/(6))+cos (x+(pi)/(6))] in the interval [0, (pi)/(2)] is attained at x=

PATHFINDER-FUNCTION-QUESTION BANK
  1. If f(x) = is an odd periodic function with period 2, then f(4) equals

    Text Solution

    |

  2. Period of f(x)=cos2pi{x} is , where {x} denote the fractional part of ...

    Text Solution

    |

  3. The period of sin((pi{x})/12)+cos((pi x)/8)+tan((pi{x})/3)

    Text Solution

    |

  4. Let f : (4, 6)to(6, 8) be a function defined by f(x) x+[x/2] (where [....

    Text Solution

    |

  5. The value of b and c for which the identity f(x+1)-f(x)=8x+3 is satisf...

    Text Solution

    |

  6. If f(x)=sin sqrt([a])x, (where [.] denotes the greatest integer functi...

    Text Solution

    |

  7. If f : R to [-1, 1], where f(x)=sin(pi/2[x]) (where [.] denotes the gr...

    Text Solution

    |

  8. If [x]^2-5[x]+6=0 (where [.] denotes the greatest integer function), t...

    Text Solution

    |

  9. Let f:(-infty,1]to(-infty,1] such that f(x)=x(2-x). Then f^(-1)(x)

    Text Solution

    |

  10. Let f : R to R be a function such that f(x)=x^3+x^2+3x+sinx . Then

    Text Solution

    |

  11. Let f:[-pi/3,(2pi)/3]to[0,4] be a function defined as f(x)=sqrt3sinx-c...

    Text Solution

    |

  12. Let f(x) = (ax+b) cos x+ (cx+ d) sin x and f' (x) = x cos x be an iden...

    Text Solution

    |

  13. If f(x)=cos |x|+[|sin x/2|] (where [.] denotes the greatest integer fu...

    Text Solution

    |

  14. The number of points (x, y), where the curves |y| = In|x| and (x-1)^2+...

    Text Solution

    |

  15. Let f(x)=[1/2+n/100], where [.] denotes the greatest integer function,...

    Text Solution

    |

  16. If y=sqrt(e^(sin^(-1)(log2x^2) , then y is real if

    Text Solution

    |

  17. If [2sinx]+[cosx]=-3 then the range of the function f(x)=sinx+sqrt3cos...

    Text Solution

    |

  18. If F(x+1)=(2F(x)+1)/2, n = 1,2,3…..and F(1) = 2 then F(101)

    Text Solution

    |

  19. If f : R to R satisfies f(x + y)=f(x)+f(y) for all x, y in R and f(1)=...

    Text Solution

    |

  20. If f(x+y,x-y)=xy then the arithmetic mean of f(y, x) & f(x,y)

    Text Solution

    |