Home
Class 12
MATHS
The value of tan^(2) (sec^(-1) 2) + cot^...

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

A

10

B

15

C

11

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos

Similar Questions

Explore conceptually related problems

sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=

sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=

The value of sec ( 2 cot^(-1) 2 + cos^(-1) . 3/5) is equal to

The value of (tan^(-1) ((1)/(2)) + tan^(-1) ((1)/(3)))=

Considering only the principal values, if tan ("cot"^(-1) x)=sin ("cot"^(-1) 1/2) , then x is :

The value of cot ("cosec"^(-1) 5/3 +"tan"^(-1) 2/3) is :

The value of tan67(1^(@))/(2)+cot67(1^(@))/(2) is

Find the value of tan { cot ^(-1) ((-2)/3)}

Prove that: sec^(2) (tan^(-1)2) + "cosec"^(2)(cot^(-1)3)=15 .

The value of tan 67 (1^(0))/(2)+cot 67 (1^(circ))/(2) is

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Solution of tan ^(-1)(1+x)+tan ^(-1)(1-x)=(pi)/(2) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The value of , sec ^(-1)((x)/(a))-sec ^(-1)((x)/(b))=sec ^(-1) b-sec...

    Text Solution

    |

  5. sin ^(-1)[cos (sin ^(-1) x)]+cos ^(-1)[sin (cos ^(-1) x)]=

    Text Solution

    |

  6. If (cos ^(-1) x)^(2)-(sin ^(-1) x)^(2) gt 0 then

    Text Solution

    |

  7. If x ge 1 then 2 tan ^(-1) x+sin ^(-1)((2 x)/(1+x^(2)))=

    Text Solution

    |

  8. If x=sin^(-1) k, y=cos^(-1) k, -1 le k le 1, then the correct relation...

    Text Solution

    |

  9. If sin ^(-1) x=(pi)/(5) then cos ^(-1) x=

    Text Solution

    |

  10. If sin^(-1) ((2a)/(1 +a^(2))) + sin^(-1) ((2b)/(1 + b^(2))) = 2tan^(-1...

    Text Solution

    |

  11. If tan ^(-1) x-tan ^(-1) y=-(pi)/(4) then

    Text Solution

    |

  12. If sum(i=1)^(20) sin ^(-1) x(l)=10 pi then sum(i=1)^(20) x(i)=

    Text Solution

    |

  13. If sec ^(-1) x+sec ^(-1) y+sec ^(-1) z=3 pi then x y+y z+z x=

    Text Solution

    |

  14. tan ^(-1)((1)/(3))+tan ^(-1) (1)/(7)+tan ^(-1) (1)/(13)+…..+tan ^(-1) ...

    Text Solution

    |

  15. Sum of ten terms of the series cot ^(-1) 3+cot ^(-1) 7+cot ^(-1) 13+...

    Text Solution

    |

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

    Text Solution

    |

  17. The value of cot ^(-1)((sqrt(1-sin x)+sqrt(1+sin x))/(sqrt(1-sin x)-sq...

    Text Solution

    |

  18. If u=cot ^(-1)(sqrt(cos theta))-tan ^(-1)(sqrt(cos theta)) then x=

    Text Solution

    |

  19. Sin^(-1) (x - (x^(2))/(2) + (x^(3)) /4+(-x^(4))/8) …....... + cos^(-1)...

    Text Solution

    |

  20. cot^(-1)(2.1^(2))+cot^(1)(2.2^(2))+cot^(-1)(2.3)^(2)+………… up to oo =

    Text Solution

    |