Home
Class 12
MATHS
tan^-1x+cot^-1x = a)0 b)pi/4 c)pi/2 d)p...

`tan^-1x+cot^-1x` = _________ a)0 b)`pi/4` c)`pi/2` d)`pi`

A

0

B

`pi/4`

C

`pi/2`

D

pi

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|122 Videos

  • LINEAR PROGRAMMING

    BODY BOOKS PUBLICATION|Exercise EXERCISE|2 Videos

Similar Questions

Explore conceptually related problems

The range of f(x) = sin^(-1) x+tan^(-1) x + sec^(-1) x is a) (pi/4,(3pi)/4) b) [pi/4,(3pi)/4] c) {(pi)/4,(3pi)/4} d)None of these

The length of the largest continuous interval in which the function f(x) = 4x - tan 2x is monotonic is a) pi//2 b) pi//4 c) pi//8 d) pi//16

int_(0) ^(pi//2) (dx)/( 1 + tan^(3) x) is equal to a)1 b) pi c) pi/2 d) pi/4

Principal value of cot^-1(-1/(sqrt3)) is a) pi/3 b) -pi/3 c) pi/6 d) 2pi/3

The period of the function f(x) = tan (4x - 1) is a) pi b) (pi)/(2) c) 2pi d) (pi)/(4)

The period of function f(x)="cos"4x+"tan"3x is a) pi//12 b) pi//6 c) pi//2 d) pi

If 1 +sin x + sin ^(2) x + sin ^(3) x + ... to oo = 4 + 2 sqrt3, 0 lt x lt pi, then x is equal to : a) pi/6 b) pi/4 c) (3pi)/(4) d) (pi)/(3) or (2pi)/(3)

Choose the correct answer from the bracket. The function f(x)=cosx is strictly decreasing in the interval _______a) ((-pi)/2,pi/2) b) (0,2pi) c) (0,pi) d) (-pi,pi)

The solution of sin^(-1)x - sin^(-1)2x = pm pi/3 is a) pm1/3 b) pi1/4 c) pmsqrt3/2 d) pm1/2

BODY BOOKS PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. sin^-1sinx=x if and only if a)x in R b)x in [(-pi)/2,pi/2] c)x in [-1...

    Text Solution

    |

  2. Consider the function f(x)=sin^(-1)(2xsqrt(1-x^2)),(-1)/sqrt2lexle1/sq...

    Text Solution

    |

  3. tan^-1x+cot^-1x = a)0 b)pi/4 c)pi/2 d)pi

    Text Solution

    |

  4. Show that tan^-1(1/8)+tan^-1(1/57)=tan^-1(1/7)

    Text Solution

    |

  5. Prove that tan^-1(1/8)+2tan^-1(1/3)+tan^-1(1/57)=pi/4

    Text Solution

    |

  6. Evaluate cos(sin^-1((-4)/5))

    Text Solution

    |

  7. Find sin(pi/3-sin^(-1)(-1/2)) =

    Text Solution

    |

  8. Prove that cos^-1x=2sin^-1sqrt((1-x)/2)

    Text Solution

    |

  9. The principal value of sin^-1((-1)/2).

    Text Solution

    |

  10. Solve cot(tan^-1(x)+cot^-1(x))

    Text Solution

    |

  11. Prove the following : (9pi)/8-9/4 sin^(-1)(1/3)=9/4 sin^(-1) ((2sqrt2...

    Text Solution

    |

  12. Solve 2tan^-1(cosx)=tan^-1(2cosx)

    Text Solution

    |

  13. Prove that sin^-1frac12(13)+cos^-1frac4(5)+tan^-1frac63(16)=pi

    Text Solution

    |

  14. Prove the following : cos^(-1)(12/13)+sin^(-1)(3/5)=sin^(-1)(56/65)

    Text Solution

    |

  15. prove the following tan^(-1)frac(63)(16)=sin^(-1)frac(5)(13)+cos^(-1...

    Text Solution

    |

  16. Find the value of the following cos^(-1)(cos frac(13pi)6)

    Text Solution

    |

  17. Show that sin^-1(8/17)+sin^-1(3/5)=tan^-1(77/36)

    Text Solution

    |

  18. If tan^(-1) ((x-1)/(x-2)) + tan^(-1) ((x+1)/(x+2)) = pi/4. then find t...

    Text Solution

    |

  19. Show that tan^-1frac(1)(5)+tan^-1frac(1)(7)+tan^-1frac(1)(3)+tan^-1f...

    Text Solution

    |

  20. Choose the correct answer from the bracket. if cos^-1x=y,then y is...

    Text Solution

    |