Home
Class 12
MATHS
sec^(-1)("sin"^2x) is well- defined if a...

`sec^(-1)("sin"^2x)` is well- defined if and only if

A

`x epsilon[-pi/2,pi/2]`

B

`x epsilon R`

C

`x epsilon{(2n+1)pi//2:n epsilon I}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos

  • INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|31 Videos

  • JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))

    DISHA PUBLICATION|Exercise MCQs|30 Videos

Similar Questions

Explore conceptually related problems

sec^(-1)(sin x) is real if

sec^(-1)(sin x) exist if

(sec^(2)x-7)/(sin^(7)x)

For any real numbers theta and phi we define theta R phi if and only if sec^(2) theta - tan^(2) phi =1 the relation R is

sec^(2)x=(4xy)/((x+y)^(2)) is true if and only if

(sec A (sec A + tan A)(1-sin A))/ ((cosec^2 A-1)sin^2 A) is equal to: (sec A (sec A + tan A)(1-sin A))/ ((cosec^2 A-1)sin^2 A) का मान क्या होगा ?

If the maximum and minimum values of (sin x)/(sqrt(1-cos^(2)))+(cos x)/(sqrt(1-sin^(2)x))+(tan x)/(sqrt(sec^(2)x-1))+(cot x)/(sqrt(cos ec^(2)-1)) when it is defined are M and m respectively then the values of M-m is

The function f(x)=sin^(3)x-m sin x is defined on open interval (-(pi)/(2),(pi)/(2)) and if assumes only 1 maximum value and only 1 minimum value on this interval.Then,which one of the must be correct?

sin(sec^(-1)x+"cosec"^(-1)x)

int(1)/(sin x+sec x)

DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
  1. The domain of the function f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))), is

    Text Solution

    |

  2. cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

    Text Solution

    |

  3. sec^(-1)("sin"^2x) is well- defined if and only if

    Text Solution

    |

  4. Find the value of cot^(-1) [(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-...

    Text Solution

    |

  5. Find domain for, f(x)=cos^(-1)[x].

    Text Solution

    |

  6. The domain of the function cos^-1 {log2 (x^2+5x+8)} is

    Text Solution

    |

  7. Let x1 and x2 be solutions of the equation "sin"^(-1)(x^2-3x+5/2)=pi/6...

    Text Solution

    |

  8. The Range of the function y=((cos^(-1)(3x-1))/pi+1)^2 (1) [1,4] (2...

    Text Solution

    |

  9. Find the principal value of cosec^(-1)(-2/sqrt3).

    Text Solution

    |

  10. Find the principal value of sec^(-1)(2)

    Text Solution

    |

  11. Principal value of "tan"^(-1)1+"cos"^(-1)((-1)/(2))+"sin"^(-1)((-1)/(2...

    Text Solution

    |

  12. If "cos"^(-1)x> "sin"^(-1)x, then the set of all values of x is

    Text Solution

    |

  13. "sin"^(-1)("sin" 5)>x^2-4x holds if

    Text Solution

    |

  14. If x epsilon(7pi,8pi), then "tan"^(-1)sqrt((1-"cos" x)/(1+"cos" x))=

    Text Solution

    |

  15. If "tan"^(-1)(-x)+"cos"^(-1)((-1)/(2))=pi/2, then the value of x is eq...

    Text Solution

    |

  16. "cos"^(-1)("cos"((7pi)/(5)))=

    Text Solution

    |

  17. sin[cot^(-1)(cot\ (17pi)/3)]

    Text Solution

    |

  18. The principal values of cost^(-1)(-sin(7pi)/(6)) is

    Text Solution

    |

  19. The value of underset(x to pi/2)limsqrt(("tan"x-"sin"("tan"^(-1)("tan"...

    Text Solution

    |

  20. Find the value of cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

    Text Solution

    |