Home
Class 11
MATHS
The value of tan^2 (sec^-1 2)+ cot^2(cos...

The value of `tan^2 (sec^-1 2)+ cot^2(cosec^-1 3)` is

A

13

B

15

C

11

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos
  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

The value of 1/2{sec^2(tan^-1 2)+cosec^2(cot^-1 3)+tan^2(pi/3)} is equal to

If 0^@ < A < 90^@ , then the value of tan^2 A + cot^2 A - sec^2 A cosec^2 A is____

The value of (cosec 2A - cot 2A) is-

The value of sin(sin^(-1) (1/3) + sec^(-1) 3)+ cos(tan^(-1) (1/2) + tan^(-1) 2) is……….

The values of 2cot^-1 (1/2)-cot^-1 (4/3) is

The value of int ("cosec" 2x cot 2x) dx is -

Evaluate : sec^2(tan^(-1)2)+cosec^2(cot^(-1)3) .

Evaluate: sec^2(tan^(-1)2)+cosec^2(cot^(-1)3) .

which of the following is the value of cot ( "cosec" ^(-1) 2+cos^(-1)""(1)/(2)) ?

The value of (cosec 2 theta -cot 2 theta) is-

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. The value of cos^-1 x + cos^-1 {x/2 + sqrt3/2 cdot sqrt(1 - x^2)}, x g...

    Text Solution

    |

  2. Value of cos^-1 sqrt((1 + sqrt(1 + x^2))/(2sqrt(1 + x^2))) , x ge 0 is

    Text Solution

    |

  3. The value of tan^2 (sec^-1 2)+ cot^2(cosec^-1 3) is

    Text Solution

    |

  4. 2 cos^-1 x = sin^-1(2xsqrt(1 - x^2)) is valid for

    Text Solution

    |

  5. If 0 le x le 3pi , 0 le y le 3pi and cos x cdot sin y = 1 , then the p...

    Text Solution

    |

  6. The number of solution of the equation x^3 + x^2 + 4x + 2 sin x = 0 , ...

    Text Solution

    |

  7. The number of values of x in [0 , 4pi] satisfying abs(sqrt3 cos x - si...

    Text Solution

    |

  8. The number of solution (s) of the equation sin^4 x + cos^4 x = sinx co...

    Text Solution

    |

  9. Number of solution of (sin4theta)/(sin 2theta) = (y + 1)/(y - 1) if 1/...

    Text Solution

    |

  10. The number of values of x satisfying the equation sqrt(sin x) - 1/sqrt...

    Text Solution

    |

  11. The equation e^(sin x) -e^(-sin x)-4=0 has

    Text Solution

    |

  12. The number of solution of 2 sin x = 5x^2 + 2x + 3 is

    Text Solution

    |

  13. In 0 lt x lt 2pi , the no of solution (s) of the equation sin^3 x + co...

    Text Solution

    |

  14. The no. of solution(s) of the equation log(cosx) sinx + log(sinx) cosx...

    Text Solution

    |

  15. The set of real values of k for which x^2 - kx + sin^-1 (sin 4) gt 0 f...

    Text Solution

    |

  16. If 'alpha' satisfies the equation x^2 - x - 2 gt 0 , then which of the...

    Text Solution

    |

  17. The general solution of the equation : sum(r =1)^n cos(r^2 x) sin(r x)...

    Text Solution

    |

  18. The value of x between 0 and 2 pi which satisfy the equation sinxsqrt(...

    Text Solution

    |

  19. The solution set of inequality log(1/2) sin^-1 x gt log(1/2) cos^-1 x

    Text Solution

    |

  20. Evaluate {sin(2tan^-1 (1/3))} + {cos(tan^-1(2sqrt2))} where {.} de...

    Text Solution

    |