Home
Class 12
MATHS
Find the domain of f(x) = sin^-1 x+ cos ...

Find the domain of `f(x) = sin^-1 x+ cos x`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos
  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

Similar Questions

Explore conceptually related problems

Find the domain of f(x)=sin^(-1)x+cosxdot

Find the domain of f(x)=sin^(-1)x+cosxdot

Find the domain of f(x) = sqrt(x-1) .

Find the domain of f(x)=cos^(-1)x+cosx .

Find the domain of f(x)=sin^(-1)(-x^2)dot

Find the domain and range of f(x) = sin^-1 (log [x]) + log (sin^-1 [x]) , where [.] denotes the greatest integer function.

Find the domain of f(x) = (3^x)/(x+1)

Find the domain of f(x)=sin^(-1)((x^2)/2)dot

Find the domain of f(x)=sin^(-1){(log)_9((x^2)/4)}

Find the domain and range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x.

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. The function f(x)={(x^2/a, if 0le x lt1),(a, if 1 le x lt sqrt2),((2b^...

    Text Solution

    |

  2. A function f(x) is defined as f(x)={(x^2 -x-6)/(x-3);ifx!=3 and 5ifx=...

    Text Solution

    |

  3. Find the domain of f(x) = sin^-1 x+ cos x

    Text Solution

    |

  4. If y=(x-1)log(x-1)-(x+1)log(x+1), prove that : dy/dx = log((x-1)/(1+x)...

    Text Solution

    |

  5. The value of f(0) , so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

    Text Solution

    |

  6. The value of a for which the function f(x) = {[5x-4,if 0ltxle1],[4x^2...

    Text Solution

    |

  7. Evaluate : tan(cos^-1(-7/25))

    Text Solution

    |

  8. The function f(x)=tanx is discontinuous on the set {npi; n in Z} (b)...

    Text Solution

    |

  9. If f(x)=|(log)(10)x| , then at x=1 f(x) is continuous and f^(prime)(1...

    Text Solution

    |

  10. If the function f(x)={(cosx)^(1/x),x!=0k ,x=0 is continuous at x=0 , t...

    Text Solution

    |

  11. If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to (a...

    Text Solution

    |

  12. If f(x)={m x+1,xlt=pi/2sinx+n ,x >pi/2 is continuous at x=pi/2, t...

    Text Solution

    |

  13. If f(x)={((36^x-9^x-4^x+1)/(sqrt(2)-sqrt(1+cosx)),x!=0),(k ,x=0)) is ...

    Text Solution

    |

  14. If f(x)={(1-cos10x)/(x^2a),x<0(sqrt(x))/(sqrt(625)+sqrt(x)-25),x >0,x=...

    Text Solution

    |

  15. If f(x)={((sin(cosx)-cosx)/((pi-2x)^2) ,, x!=pi/2),(k ,, x=pi/2):} is ...

    Text Solution

    |

  16. Discuss the continuity of the function f(x) given by f(x)={2x-1,ifx...

    Text Solution

    |

  17. The value of a for which the function f(x)={(((4^x-1)^3)/(sin(x/a)log...

    Text Solution

    |

  18. If f(x)={(ax^2+b ,0lex<1),(4,x=1),(x+3,1ltxge2)) then the value of(a...

    Text Solution

    |

  19. If f(x)={(2^(x+2)-16)/(4^x-16), if x!=2, k if x=2 is continuous at x=2...

    Text Solution

    |

  20. Let f(x)={(1-cos4x)/(x^2a,),ifx<0(sqrt(x))/(sqrt(16+sqrt(x))-4),ifx >0...

    Text Solution

    |