Home
Class 12
MATHS
Solution of equation cot^(-1) x + sin^(-...

Solution of equation `cot^(-1) x + sin^(-1) . 1/sqrt5 = pi/4 ` is

A

` x = 3`

B

` x = 1//sqrt5`

C

` x = 0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|7 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

Prove that : cot^-1 3 + cosec^-1 sqrt5 = pi/4

Find the solution of the equation: tan^-1x - cot^-1 x = tan^-1(1/sqrt3)

Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

The solution set of inequality ( cot^(-1) x) (tan^(-1) x) + (2 - pi/2) cot^(-1) x - 3 tan^(-1) x - 3 ( 2 - pi/2) gt 0 , is

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

The number of real solutions of the equations: tan^-1 sqrt(x(x+1)) + sin^-1 sqrt(x^2 + x+1) = pi/2 is

Number of solutions of the equation log_(10) ( sqrt(5 cos^(-1) x -1 )) + 1/2 log_(10) ( 2 cos^(-1) x + 3) + log_(10)sqrt5 = 1 is

The solution set of equation sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(-1) (sqrt(1 - x^2)/x) - sin^(-1) x , is

Solve the following equations. cot^-1 x - cot^-1 (x+2) = pi/12, x > 0

Find the number of solution of the equations |cot x|= cot x +(1)/(sin x), when in [0,2pi]

ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...

    Text Solution

    |

  2. Sum of infinite terms of the series cot^(-1) ( 1^(2) + 3/4) + cot^(-1...

    Text Solution

    |

  3. Solution of equation cot^(-1) x + sin^(-1) . 1/sqrt5 = pi/4 is

    Text Solution

    |

  4. Solution set of the inequality ( cot^(-1) x)^(2) - ( 5 cot^(-1) x) +...

    Text Solution

    |

  5. Find the sum to infinite terms of the series tan^(-1)((1)/(3))+tan^(-1...

    Text Solution

    |

  6. If x + 1/x = 2, the principal value of sin^(-1) x is

    Text Solution

    |

  7. If x in ( - pi/2, pi/2), then the value of tan^(-1) ((tan x)/4) + ta...

    Text Solution

    |

  8. If sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y

    Text Solution

    |

  9. The value of cot (pi)/(4)-2 cot^-1(3) is

    Text Solution

    |

  10. sin [ tan^(-1). (1 - x^(2))/(2x) + cos^(-1) . (1-x^(2))/(1 + x^(2))] i...

    Text Solution

    |

  11. If cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 ...

    Text Solution

    |

  12. If |cos^(-1) ((1 -x^(2))/(1 + x^(2)))| lt (pi)/(3), then

    Text Solution

    |

  13. The value of cos^-1[cot(sin^-1(sqrt((2-sqrt3)/4))+cos^-1(sqrt12/4)+sec...

    Text Solution

    |

  14. If tan^(-)(x)/(pi)lt (pi)/(3) x in N then the maximum vlaue of x is

    Text Solution

    |

  15. If tan^(-1). (sqrt((1+x^(2))) - sqrt((1-x^(2))))/(sqrt((1+x^(2)))+sqrt...

    Text Solution

    |

  16. Find the number of positive integral solutions of tan^-1 x + cot^-1 y ...

    Text Solution

    |

  17. If cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) are equal func...

    Text Solution

    |

  18. The value of underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1)...

    Text Solution

    |

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

    Text Solution

    |

  20. Prove that sin7x + sin5x + sin3x + sinx = 4cosx cos2x sin4x

    Text Solution

    |