Home
Class 12
MATHS
Let f:[-(pi)/(3), (2pi)/(3)] to [0,4] be...

Let `f:[-(pi)/(3), (2pi)/(3)] to [0,4]` be a function defined as `f(x)=sqrt(3) sinx -cos x +2.` Then `f^(-1)(x)` is given by

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let f: [(2pi)/(3), (5pi)/(3)]to[0,4] be a function difined as f (x) =sqrt3 sin x - cos x +2, then :

Let f:[-pi/3,(2pi)/3] rarr [0,4] be a function defined as f(x)=sqrt(3)sinx-cosx+2. Then f^(-1)(x) is given by (a) sin^(-1)((x-2)/2)-pi/6 (b) sin^(-1)((x-2)/2)+pi/6 (c) (2pi)/3+cos^(-1)((x-2)/2) (d) none of these

Let f:[-pi/3,(2pi)/3]vec[0,4] be a function defined as f(x)=sqrt(3)sinx-cosx+2. Then f^(-1)(x) is given by sin^(-1)((x-2)/2)-pi/6 sin^(-1)((x-2)/2)+pi/6 (2pi)/3+cos^(-1)((x-2)/2) (d) none of these

Let f:A->B be a function defined by f(x) =sqrt3sin x +cos x+4. If f is invertible, then

Let f:{-pi/2,\ pi/2}->R be a function defined by f(x)=cos[x]dot Write range (f) .

Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x . Then f is

Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x . Then f is

Let f : [-(pi)/(2), (pi)/(2)] rarr [3, 11] defined as f(x) = sin^(2)x + 4 sin x + 6 . Show that f is bijective function.

Let f :[0,2pi] to [-3, 3] be a given function defined at f (x) = 3cos ""(x)/(2). The slope of the tangent to the curve y = f^(-1) (x) at the point where the curve crosses the y-axis is:

Let f:[pi,3pi//2] to R be a function given by f(x)=[sinx]+[1+sinx]+[2+ sinx] Then , the range of f(x) is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let |z1|=|"z"2|="p"/2 then "|z1+z2|^2+|z1-z2|^2= a.p^2 b. (p^2)...

    Text Solution

    |

  2. Evaluate the following: lim(xrarr2)(x^2-4)/(sqrt(3x-2)-sqrt(6-x))

    Text Solution

    |

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

    Text Solution

    |

  4. If 3^(49)(x+i y)=(3/2+(sqrt(3))/2i)^(100) and x=k y then k is: a.-...

    Text Solution

    |

  5. Evaluate: ("lim")(xvec0)(s nx^0)/x

    Text Solution

    |

  6. If mean of squares of deviations of a set of n observations about -2a ...

    Text Solution

    |

  7. If complex number (3+2i s in x)/(1-2i s in x) is purely imaginary then...

    Text Solution

    |

  8. Evaluate the following: (lim)(xvecpi/2)(sin x)/x

    Text Solution

    |

  9. If ( x )1a n d( x )2 are the means of two distributions such that ( ...

    Text Solution

    |

  10. Let f, g and h be the lengths of the perpendiculars from the circumcen...

    Text Solution

    |

  11. The probability of a shooter hitting a target is 3/4 . How many minimu...

    Text Solution

    |

  12. If the standard deviation of a variable xi ssigma , then standard devi...

    Text Solution

    |

  13. If z1a n dz2 are two nonzero complex numbers such that =|z1+z2|=|z1|+|...

    Text Solution

    |

  14. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

    Text Solution

    |

  15. Find the value of the constant k so that the given function is c...

    Text Solution

    |

  16. If z is a complex number such that |z|=4 and a r g(z)=(5pi)/6 , then z...

    Text Solution

    |

  17. Differentiate the following functions with respect to x a/(x^2)+b/(x^...

    Text Solution

    |

  18. If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite s...

    Text Solution

    |

  19. The number of terms of an A.P. is even; the sum of the odd terms is ...

    Text Solution

    |

  20. Evaluate the following: (lim)(x->0^+)xsin1//x

    Text Solution

    |