Home
Class 12
MATHS
sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3) is...

`sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)` is equal to (a)5 (b) 13 (c) 15 (d) 6

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

int e^(tan^-1x)(1+x+x^2) d(cot^-1x) is equal to

The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a) cot^(-1)x (b) cot^(-1)1/x (c) tan^(-1)x (d) none of these

If y="sec"(tan^(-1)x), then (dy)/(dx) at x=1 is equal to: 1/(sqrt(2)) (b) 1/2 (c) 1 (d) sqrt(2)

If y="sec"(tan^(-1)x), then (dy)/(dx) at x=1 is equal to: 1/(sqrt(2)) (b) 1/2 (c) 1 (d) sqrt(2)

If sintheta_1sintheta_2-costheta_1costheta_2+1=0, then the value of tan((theta_1)/2)cot((theta_2)/2) is equal to (a) -1 (b) 1 (c) 2 (d) -2

tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x),x!=0, is equal to x (b) 2x (c) 2/x (d) none of these

("lim")_(xvecoo)"{"x+5")"tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to (a) pi (b) 2pi (c) pi/2 (d) none of these

lim_(x->oo) (e^(1/x^2)-1)/(2tan^-1(x^2)-pi) is equal to (a) 1 (b) -1 (c) 1/2 (d) -1/2

lim_(x->oo)cot^(-1)(x^(-a)log_a x)/(sec^(-1)(a^xlog_x a)),(a >1) is equal to (a) 2 (b) 1 (c) (log)_a2 (d) 0

If 5tantheta=4, then (5sintheta-3costheta)/(5sintheta+2costheta) is equal to 0 (b) 1 (c) 1/6 (d) 6

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The number of integer values of k for which the equation sin^(-1)x+tan...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The number of real solution of the equation tan^(-1) sqrt(x^2-3x +7) +...

    Text Solution

    |

  5. For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real soluti...

    Text Solution

    |

  6. If sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta, then 1+x y is equal ...

    Text Solution

    |

  7. If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi, then...

    Text Solution

    |

  8. The value of (lim)(xvecoo)(tan^(-1)x))) is equal to (a)-1 (b) pi/2 (...

    Text Solution

    |

  9. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a)(pi/4,(3pi)/4) ...

    Text Solution

    |

  10. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

    Text Solution

    |

  11. Range of tan^(-1)((2x)/(1+x^2)) is (a)[-pi/4,pi/4] (b) (-pi/2,pi/2...

    Text Solution

    |

  12. If range of function f(x)=sin^(-1)x+2tan^(-1)x+x^2+4x+1 is [p , q], th...

    Text Solution

    |

  13. The value of x for which "sin"(cot^(-1)(1+x))="cos"(tan^(-1)x) is (a)1...

    Text Solution

    |

  14. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are ...

    Text Solution

    |

  15. sin{2(sin^(-1)(sqrt(5))/3-cos^(-1)(sqrt(5))/3)} is equal to (ksqrt(5)...

    Text Solution

    |

  16. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

    Text Solution

    |

  17. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

    Text Solution

    |

  18. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

    Text Solution

    |

  19. Which of the following quantities is/are positive? (a)"cos"(tan^(-1)(t...

    Text Solution

    |

  20. Which of the following is/are a rational number? sin(tan^(-1)3+tan^(-...

    Text Solution

    |