Home
Class 12
MATHS
If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^...

If `0 < x <1,` then `sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)` is equal to

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix such that A*(AdjA)=[{:(4,0,0),(0,4,0),(0,0,4):}] , then

If A is a square matrix such that A(adjA)=[(4,0,0),(0,4,0),(0,0,4)], then =(|adj(adjA)|)/(2|adjA|) is equal to

The sum of 10 terms of the series 0.7+0.77+0.777+........ is

If A= |(cos x,-sin x,0),(sinx,cosx,0),(0,0,1)| .Find A^(n) (by mathematical method).

If A = [(1,0,0),(0,1,0),(a,b,-1)] , show that A^(2) is a unit matrix.

If A = {: [ ( 1,0,0) , ( 0,1,0) , ( a,b,-1)]:} show that A^(2) is a unit matrix .

If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then find its center.

If A= {:[( 1,0,1),(0,1,2),(0,0,4)]:} ,then show that |3A| =27|A|

" if " f(0) = |{:(sin 0 ,,cos 0,,sin 0),(cos0,,sin0,,cos0),(cos0,, sin 0,,sin 0):}| then

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are ...

    Text Solution

    |

  2. sin{2(sin^(-1)(sqrt(5))/3-cos^(-1)(sqrt(5))/3)} is equal to (ksqrt(5)...

    Text Solution

    |

  3. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

    Text Solution

    |

  4. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

    Text Solution

    |

  5. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

    Text Solution

    |

  6. Which of the following quantities is/are positive? (a)"cos"(tan^(-1)(t...

    Text Solution

    |

  7. Which of the following is/are a rational number? sin(tan^(-1)3+tan^(-...

    Text Solution

    |

  8. If sin^(- 1)(x-(x^2)/2+(x^3)/4-.....)+cos^(- 1)(x^2-(x^4)/2+(x^6)/4-....

    Text Solution

    |

  9. If we consider only the principal values then the value inverse trigon...

    Text Solution

    |

  10. The number of real solution of the equation sqrt(1+cos2x)=sqrt2 sin^(-...

    Text Solution

    |

  11. The solution set of the equation sin^(-1)sqrt(1-x^2)+cos^(-1)x=cot^(-1...

    Text Solution

    |

  12. If |cos^(-1)((1-x^2)/(1+x^2))|<pi/3,t h e n

    Text Solution

    |

  13. If alpha,beta(alpha < beta) are the roots of equation 6x^2+11="" x+3="...

    Text Solution

    |

  14. If 2^((2pi)/sin^(-1)x)-2(a+2)^(pi/sin^(-1)x)+8a<0 for at least one re...

    Text Solution

    |

  15. Which of the following is/are the value of "cos"[1/2cos^(-1)(cos(-(14p...

    Text Solution

    |

  16. 2tan^(-1)(-2) is equal to (a)-cos t^(-1)((-3)/5) (b) -pi+cos^(-1)3...

    Text Solution

    |

  17. If the equation sin^(-1)(x^2+x+1)+cos^(-1)(lambda+1)=pi/2 has exactly ...

    Text Solution

    |

  18. Prove that : cos [ tan^(-1) { sin (cot^(-1) x)}]= sqrt((x^2 +1)/(...

    Text Solution

    |

  19. Find the minimum value of the function f(x)=(pi^2)/(16cot^(-1)(-x))-co...

    Text Solution

    |

  20. Find the range of y=(cot^(-1)x)(cot^(-1)(-x))dot

    Text Solution

    |