Home
Class 11
MATHS
If f(x)=sin^(2)x+sin^(2)(x+pi//3)+cosxco...

If `f(x)=sin^(2)x+sin^(2)(x+pi//3)+cosxcos(x+pi//3) and g(5//4)=1` then `(gof)(x)=`

A

1

B

0

C

`sin x`

D

`cos x`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -I|53 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

The period of the function f(x)=c^(sin^(2)x +sin^(2)(x+ pi/3) + cos x cos(x + pi/3)) is ( where c is constant)

If f(g(x)) = x and g(f(x)) = x then g(x) is the inverse of f(x) . (g'(x))f'(x) = 1 implies g'(f(x))=1/(f'(x)) Let us consider a real value bijective function g(x) sun that g'(x) = sin^2 (x+pi/4) +2 cos (x -pi/4) and g(pi/4) =3 then value of (g^(-1))(3) is

Let f(x)=e^(cos^(-1)sin(x+pi//3)) then

If sin^(-1)(x)+sin^(-1)(2x)=(pi)/3 then x=

If f(x)=x^(3)-x, g(x)=sin 2x , then

Solve Sin^(-1)x +Sin^(-1)2x = (pi)/3 .

int_(0)^(pi)(x.sin2x.sin[(pi//2)cosx])/(2x-pi)dx=

AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. If f(x)=logx, g(x)=x^(3) then f[g(a)]+f[g(b)]=

    Text Solution

    |

  2. If f(x) =px + q and g(x) =rx +s and f[g(x)]=g[f(x)] <implies

    Text Solution

    |

  3. If f(x)=sin^(2)x+sin^(2)(x+pi//3)+cosxcos(x+pi//3) and g(5//4)=1 then ...

    Text Solution

    |

  4. if f(x) =x/sqrt(1-x^(2)), then (fofof)(x)=

    Text Solution

    |

  5. If f (x) = (x +1)/( x -1) , (x ne pm 1) then find (fofof) (x) and (fof...

    Text Solution

    |

  6. If f(x) =(alphax)/(x+1), x ne 1, then the value of alpha for which f(f...

    Text Solution

    |

  7. If f(x) =(10-x^(7))^(1//7), then fof(x)=

    Text Solution

    |

  8. If f(x) is defiend on [0, 1] as f(x)={{:(x","," if "x in Q),(1-x","," ...

    Text Solution

    |

  9. If f(n)=(-1)^(n-1)(n-1) and g(n)=n-f (n)AA n in N then (gog)(n)=

    Text Solution

    |

  10. If f(1)=1, f(n+1)=2f(n)+1, n ge1, then f(n) is

    Text Solution

    |

  11. If g(x) =1+sqrt(x) and f(g(x)) =3+2sqrt(x)+x, then f(x)=

    Text Solution

    |

  12. If f: R to R is defined by f(x) = x^(2)-3x+2 and f(x^(2)-3x-2) =ax^(4)...

    Text Solution

    |

  13. If f: R to R is defined by: f(x-1) =x^(2) + 3x+2, then f(x-2)=

    Text Solution

    |

  14. The function y=f(x) satisfying the condition f(x+1//x) =x^(3)+1//x^(3...

    Text Solution

    |

  15. If f: N to Z is defined by: f(n) ={{:(2, if, n=3k, k in Z),(10-n, if...

    Text Solution

    |

  16. If f(x) = cos(log x), then f(x^(2)) . f(y^(2)) -1/2[f(x^(2)y^(2)) +f...

    Text Solution

    |

  17. If e^(f(x))=(10+x)/(10-x), x in (-10, 10) and f(x)=kf ((200x)/(100+x^(...

    Text Solution

    |

  18. f(x) = log((1+x)/(1-x)) satisfies the equation: f(x(1)) +f(x(2))

    Text Solution

    |

  19. If f(x) =|x-2| and g(x) = f(f(x)), then for x gt 20, g(x)=

    Text Solution

    |

  20. If f(x) =|x|,g(x)=x then f(x) + g(x) is equal to:

    Text Solution

    |