Home
Class 12
MATHS
A continuous, even periodic function f w...

A continuous, even periodic function f with period 8 is such that `f(0)=0,f(1)=-2,f(2)=1,f(3)=2,f(4)=3,` then the value of `tan^(-1) tan{f(-5)+f(20)+cos^(-1)(f(-10))+f(17)}` is equal to

A

`2pi-3`

B

`3-2pi`

C

`2pi+3`

D

`3-pi`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

A continuous,even periodic function f with period 8 is such that f(0)quad =0.f(1)=2.f(2)=1f(3)=2.f(4)=3 then the value of cos^(-1)(cos(f(9)+2f(20))) is equal to

Iff is a function such that f(0)=2,f(1)=3,f(x+2)=2f(x)-f(x+1), then f(5) is

If f is a function such that f(0) = 2, f(1) = 3, f(x+2) = 2f(x) - f(x + 1), then f(5) is

If f(x) is a quadratic function such that f(0)=2, f(1) =3 and f(4) =42, find the value of f(5) .

Let 'f' be an even periodic function with period ' 4 ' such that f(x)=2^(x)-1,0<=x<=2. The number of solutions of the equation f(x)=1 in [-10,20] are

Let f(x) be continuous and differentiable function everywhere satisfying f(x+y)=f(x)+2y^(2)+kxy and f(1)=2, f(2)=8 then the value of f(3) equals

If f(x) is a quadratic function such that f(0)=3,f(1)=6 and f(2)=11 , then: f(x)=

If f is continuous function in [1,2] such that |f(1)+3|<|f(1)|+3 and |f(2)+10|=|f(2)|+10,(f(2)!=0) then the

Let f(x) be a cubic polynomial on R which increases in the interval (-oo,0)uu(1,oo) and decreases in the interval (0,1). If f'(2)=6 and f(2)=2, then the value of tan^(-1)(f(1))+tan^(-1)(f((3)/(2)))+tan^(-1)(f(0)) equals

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. Let f(x)=(1)/(1+x) and let g(x,n)=f(f(f(….(x)))), then lim(nrarroo)g(x...

    Text Solution

    |

  2. lim(xrarr0^(+)){ln((x^(7)+2x^(6)e+x^(5)e^(2)))-ln(x^(2)sin^(3)x)} is e...

    Text Solution

    |

  3. A continuous, even periodic function f with period 8 is such that f(0)...

    Text Solution

    |

  4. The value of int(0)^(1)(Pi(i=1)^(n)(x+i))(Sigma(j=1)^(n)(1)/(x+j))dx i...

    Text Solution

    |

  5. If f is a continuous and differentiable funciton in x in (0, 1) such t...

    Text Solution

    |

  6. int(0)^(1)[(x)/(sinx)]dx equals to, ([.] denotes greatest integers fun...

    Text Solution

    |

  7. If area bounded by the curve x^(2)y+y^(2)x=alpha y is 2 units, then po...

    Text Solution

    |

  8. Let f(x)={{:(2^([x]),, x lt0),(2^([-x]),,x ge0):}, then the area bound...

    Text Solution

    |

  9. The degree and order of differntial equation of family of circle touch...

    Text Solution

    |

  10. If k sin^(2)x+(1)/(k) cosec^(2) x=2, x in (0,(pi)/(2)), then cos^(2...

    Text Solution

    |

  11. Domain of the function f(x)=(1)/([sinx-1]) (where [.] denotes the grea...

    Text Solution

    |

  12. For f:N rarr R f(x)=(x^(3)-11^(3))^(1//3), the number of positive inte...

    Text Solution

    |

  13. If f(x)=={{:((sin(x))/({x})",",{x} ne 0),(k",",{x}0):}, where {x} deno...

    Text Solution

    |

  14. If f(x)=int(0)^(x)(e^(t)+3)dt, then which of the following is always t...

    Text Solution

    |

  15. Let g(x)=e^f(x)), g(x+1)=xg(x), then (g'((2n+1)/(2))g((1)/(2))-g'((1)/...

    Text Solution

    |

  16. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  17. Let f(x)=int((4x^(4)-2x^(3)-3x^(2)-4)dx)/((x^(4)+x^(3)+1)^(3//2)). If ...

    Text Solution

    |

  18. If x(1), x(2), x(3), x(4) are positive roots of the equation x^(4)-8x^...

    Text Solution

    |

  19. If int(0)^(1)(2^(t)dt)/(t+3)=A and int(a-1)^(a)(2^(t)dt)/(t+b-1)=2^(a-...

    Text Solution

    |

  20. (p^^~q) ^^ (~pvvq) is

    Text Solution

    |