Home
Class 12
MATHS
tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(...

`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

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

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 x^2+y^2+z^2=r^2,t h e ntan^(-1)((x y)/(z r))+tan^(-1)((y z)/(x r))+tan^(-1)((x z)/(y r)) is equal to pi (b) pi/2 (c) 0 (d) none of these

If x in (pi,(3pi)/2), then 4cos^2(pi/4-x/2)+sqrt(4sin^4x+sin^2 2x) is always equal to (a) 1 (b) 2 (c) -2 (d) none of these

lim_(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (b) 0 (c) 2 (d) none of these

int_0^oo(x dx)/((1+x)(1+x^2)) is equal to (A) pi/4 (B) pi/2 (C) pi (D) none of these"

int_0^oo(pi/(1+pi^2x^2)-1/(1+x^2))logx dx is equal to (a) -pi/2logpi (b) 0 (c) pi/2log2 (d) none of these

If x_1=2tan^(-1)((1+x)/(1-x)),x_2=sin^(-1)((1-x^2)/(1+x^2)) , where x in (0,1), then x_1+x_2 is equal to (a) 0 (b) 2pi (c) pi (d) none of these

2 tan ^(-1) (Cos x) = tan ^(-1) (2 "cosec"x)

If tan^(-1)((a+x)/a)+tan^(-1)((a-x)/a)=pi/6,then x^2= 2sqrt(3)a (b) sqrt(3)a (c) 2sqrt(3)a^2 (d) none of these

lim_(x->oo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 (b) 1 (c) 1/3 (d) 1/2

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

    Text Solution

    |

  2. The value of tan^(-1)((xcostheta)/(1-xsintheta))-cot^(-1)((costheta)/(...

    Text Solution

    |

  3. tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x),x!=0, is equal to x (b)...

    Text Solution

    |

  4. The sum of series sec^(-1) sqrt2 + sec^(-1).(sqrt10)/(3) + sec^(-1).(s...

    Text Solution

    |

  5. The value of tan^(-1).(4)/(7) + tan^(-1).(4)/(19) + tan^(-1).(4)/(39) ...

    Text Solution

    |

  6. If 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(...

    Text Solution

    |

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

    Text Solution

    |

  8. If alpha=tan^(-1)((4x-4x^3)/(1-6x^2+x^4)),beta=2sin^(-1)((2x)/(1+x^2))...

    Text Solution

    |

  9. Absolute value of sum of all integers in the domain of f(x)=cot^(-1)sq...

    Text Solution

    |

  10. Solve the equation tan^(-1)2x+tan^(-1)3x=pi/4

    Text Solution

    |

  11. Solve tan^(-1)x+sin^(-1)x=tan^(-1)2xdot

    Text Solution

    |

  12. 2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),where x in R-{-1,1}, is equal to

    Text Solution

    |

  13. If alpha=3sin^-1(6/(11)) and beta=3cos^-1(4/9), where the inverse trig...

    Text Solution

    |

  14. Prove that: tan^(-1)x+tan^(-1)(1/x)={pi/2,ifx >0-pi/2,ifx<0

    Text Solution

    |

  15. Find the value of sin^(-1)x+sin^(-1)(1/x)+cos^(-1)x+cos^(-1)(1/x)dot

    Text Solution

    |

  16. Find the value of underset(r = 1)overset(10)sum underset(s = 1)overset...

    Text Solution

    |

  17. If sin^(-1)xi in [0,1]AAi=1,2,3, .28 then find the maximum value of s...

    Text Solution

    |

  18. Prove that cos^(-1)4/5 + cos^(-1)(12)/(13)=cos^(-1)(33)/(65)

    Text Solution

    |

  19. If two angles of a triangle are tan^(-1)(2)a n dtan^(-1)(3), then find...

    Text Solution

    |

  20. Find the sum of the following AP : 0.6, 1.7, 2.8, ……, to 100 terms.

    Text Solution

    |