Home
Class 12
MATHS
The value of "tan"(sin^(-1)("cos"(sin^(-...

The value of `"tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(-1)x))),w h e r ex in (0,1),` is equal to (a) 0 (b) 1 (c) `-1` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

The value of sin(cos^(-1)x)-cos(sin^(-1)x) is

The value of sin(cos^(-1)x)-cos(sin^(-1)x) is-

The value of sin^-1(cos(sin^-1x))+cos^-1(sin(cos^-1x)) where absx le 1 , is

tan (sin ^(-1)x+sin ^(-1) y) +tan (cos^(-1)x+cos ^(-1)y)

prove that sin^(-1) cos sin^(-1)x + cos^(-1) sin cos^(-1)x = pi /2

The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x in (pi/2,pi) , is equal to pi/2 (b) -pi (c) pi (d) -pi/2

If y=cos^(-1)((5cosx-12sinx)/(13)),w h e r ex in (0,pi/2), then (dy)/(dx) is. (a)1 (b) -1 (c) 0 (d) none of these

If alpha=sin^(-1)(cos(sin^(-1)x))a n dbeta=cos^(-1)("sin"(cos^(-1)x)), then find tanalphadottanbeta

If x_1=2tan^(-1)((1+x)/(1-x)),x_2=sin^(-1)((1-x^2)/(1+x^2)) , where x in (0,1), then x_1+x_2 is equal to (a) 0 (b) 2pi (c) pi (d) none of these

prove that , sin ^(-1) cos sin ^(-1 )x+cos ^(-1) sin cos ^(-1) ""x=(pi)/(2)

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. A particle just clears a wall of height b at distance a and strikes ...

    Text Solution

    |

  2. There exists a positive real number of x satisfying "cos"(tan^(-1)x)=x...

    Text Solution

    |

  3. The value of "tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(...

    Text Solution

    |

  4. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2)cot^(-1)...

    Text Solution

    |

  5. In an AP given a = 5, d = 3, an = 50, Find n and Sn of that AP.

    Text Solution

    |

  6. y=sin^(-1)(x/2)+cos^(-1)(x/2) then find the value of [dy/dx](x=1)

    Text Solution

    |

  7. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9...)+c...

    Text Solution

    |

  8. Column I, Column II sin^(-1)(4/5)+2tan^(-1)(1/3)= , p. pi/6; sin^(-...

    Text Solution

    |

  9. theta=tan^-1(2tan^2theta)-tan^-1{(1/3)tantheta}, if

    Text Solution

    |

  10. If tan^(-1)((a+x)/a)+tan^(-1)((a-x)/a)=pi/6,then x^2= 2sqrt(3)a (b) ...

    Text Solution

    |

  11. The value of k(k >0) such that the length of the longest interval ...

    Text Solution

    |

  12. Which of the following pairs of function/functions has same graph? y=...

    Text Solution

    |

  13. If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, then the possible values of n i...

    Text Solution

    |

  14. If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible v...

    Text Solution

    |

  15. If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^2, then D=|x^(N1)y^(N...

    Text Solution

    |

  16. Indicate the relation which can hold in their respective domain for ...

    Text Solution

    |

  17. If x&lt;0,t h e ntan^(-1)x is equal to

    Text Solution

    |

  18. If tan^(-1)(x+3/x)-tan^(-1)(x-3/x)=tan^(-1) (6/x ) then the value of x...

    Text Solution

    |

  19. If sin^(-1)x+sin^(-1)y=pi/2 and sin2x=cos2y , then (a) x=pi/8+sqrt(...

    Text Solution

    |

  20. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n prove t h a t x^2+y^2+z^...

    Text Solution

    |