Home
Class 12
MATHS
If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), wh...

If `z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y),` where `x y<0,` then the possible values of `z` is (a) `(8pi)/(10)` (b) `(7pi)/(10)` (c) `(9pi)/(10)` (d) `(21pi)/(20)`

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 x > y > z >0, then find the value of cot^(-1)(x y+1)/(x-y)+cot^(-1)(y z+1)/(z y-z)+cot^(-1)(z x+1)/(z-x)

If sec^(-1)x=cos e c^(-1)y , then find the value of cos^(-1)1/x+cos^(-1)1/ydot

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+2x y z=1 2(sin^(-1)x+sin^(-1)y+sin^(-1)z)=cos^(-1)x+cos^(-1)y+cos^(-1)z x y+y z+z x=x+y+z-1 (x+1/x)+(y+1/y)+(z+1/z)geq6

Find (dy)/(dx) in the following : y= sec^(-1) ((1)/(2x^(2)-1)), 0 lt x lt (1)/(sqrt(2)) .

If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi , then prove that x^(4)+y^(4)+z^(4)+4x^(2)y^(2)z^(2)=2(x^(2)y^(2)+y^(2)z^(2)+z^(2)x^(2))

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2) , the value of x^(2017)+y^(2018)+z^(2019)-(9)/(x^(101)+y^(101)+z^(101)) is

The area bounded by the curves y=cos^(-1)x,y =sin^(-1) x and y=-pix^(3), where -1lex le1 ,is

Draw the graph of y=sec^(-1)x+cosec^(-1)x

Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x)-1)/(sqrt(x)+1))

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Which of the following pairs of function/functions has same graph? y=...

    Text Solution

    |

  2. If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, where x y<0 then the possible v...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If -1&lt; x &lt; 0 , then cos^(-1)x is equal to (a) sec^(-1)(1/ x) (b)...

    Text Solution

    |

  8. If tan^(-1)(x+3/x)-tan^(-1)(x-3/x)=tan^(-1)6/x , then the value of x^4...

    Text Solution

    |

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

    Text Solution

    |

  10. If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^...

    Text Solution

    |

  11. tan^(-1)[(cosx)/(1+sinx)] is equal to pi/4-x/2,forx in (-pi/2,(3pi)/2...

    Text Solution

    |

  12. The value of the expression sin^(-1)(sin(22pi)/7)+cos^(-1)(cos(5pi)/3)...

    Text Solution

    |

  13. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

    Text Solution

    |

  14. Complete solution set of tan^2(sin^(-1)x)>1 is (a)(-1,-1/(sqrt(2)))uu...

    Text Solution

    |

  15. The range of the values of p for which the equation sin cos^(-1) ( co...

    Text Solution

    |

  16. The sum of the solution of the equation 2sin^(-1)sqrt(x^2+x+1)+cos^(-1...

    Text Solution

    |

  17. Complete solution set of [cot^(-1)x]+2[tan^(-1)x]=0, where [] denote...

    Text Solution

    |

  18. The number of integer values of k for which the equation sin^(-1)x+tan...

    Text Solution

    |

  19. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) is...

    Text Solution

    |

  20. sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3) is equal to (a)5 (b) 13 (c) 15...

    Text Solution

    |