Home
Class 12
MATHS
If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin...

If `tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n` the value of `sin^(-1)sin2x` is (a)`6-2pi` (b) `2pi-6` (c)`pi-3` (d) `3-pi`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4 pi+sin^(-1)sin14)=(pi)/(2), then the value of sin^(-1)sin2x is (a)6-2 pi( b) 2 pi-6( c) pi-3 (d) 3-pi

If tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin14)=(pi)/(2) , then the value of sin^(-1)(sin2x) can be equal to

If tan x=(-3)/(4) and (3 pi)/(2)

If sin^(-1)x+sin^(-1)y=(2 pi)/(3) ,then the value of cos^(-1)x+cos^(-1)y is (A) (2 pi)/(3) (B) (pi)/(3) (C) (pi)/(2) (D) pi

Find the value of int_(pi/4)^(pi/3) (sin2x)/(1-cos2x) dx

The value of int_(-pi/2)^(pi/2) (sin^2x)/(1+2^x)dx is: (A) pi (B) pi/2 (C) 4pi (D) pi/4

Find the value of sin^(-1)("sin"(2pi)/(3))+cos^(-1)("cos"(4pi)/(3))

sin^(-1)((-1)/2) (a) pi/3 (b) -pi/3 (c) pi/6 (d) -pi/6

The value of cos^(-1)(-1)-sin^(-1)(1) is- pi b .(pi)/(2)c*(3 pi)/(2)d.-(3 pi)/(2)

If sin^(-1)(tan pi//4)-sin^(-1)(sqrt(3//x))-pi//6=0 , then x is a root of the equation

RESONANCE DPP-JEE MAINS-All Questions
  1. Six X's are to be placed in boxes of the figure such that each row con...

    Text Solution

    |

  2. the solution of the differential equation (dy)/(dx)+(x(x^(2)+3y^(2))/(...

    Text Solution

    |

  3. If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n th...

    Text Solution

    |

  4. Let C1 and C2 be externally tangent circles with radius 2 and 3 respe...

    Text Solution

    |

  5. Consider the system of hyperbola xy = k, k in R. Let e1 be the eccentr...

    Text Solution

    |

  6. Given that underset(xrarroo)("lim")(underset(0)overset(x)int(t^(2))/(s...

    Text Solution

    |

  7. The area bounded by f(x)=sin^(-1)(sinx) and g(x)=pi/2-sqrt(pi^(2)/2-...

    Text Solution

    |

  8. Let f(x)=(sqrt2^x -2)/(sqrt2^x +2) then if the graphs of y=f(x) and y=...

    Text Solution

    |

  9. underset(nrarroo)lim[(1)/(sqrt(n^(2)-1^(2)))+(1)/(sqrt(n^(2)-2^(2)))+(...

    Text Solution

    |

  10. Consider a real valued continuous function f such that f(x)=sinx + int...

    Text Solution

    |

  11. Find the equation to the ellipse, whose focus is the point (-1,1),whos...

    Text Solution

    |

  12. A line L passing through (1, 1) intersect lines L1: 12 x+5y=13 and L...

    Text Solution

    |

  13. Three positive numbers from an increasing G.P. If the middle term i...

    Text Solution

    |

  14. int(1+2x^(2)+(1)/(x))e^(x^(2)-(1)/(x))dx is equal to

    Text Solution

    |

  15. If the vectors vec a + vec b + vec c, vec a + lambda vec b + 2 vec c, ...

    Text Solution

    |

  16. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+...

    Text Solution

    |

  17. Let matrix B=[4 1-9-2], then which of the following will not be an ...

    Text Solution

    |

  18. Find the derivative of f(tanx) w.r.t. g(secx) at x=pi/4 , where f^(pri...

    Text Solution

    |

  19. f(x) = 1 + [cosx]x in 0 leq x leq pi/2 (where [.] denotes greatest in...

    Text Solution

    |

  20. The number of real roots of the equation x^5+e^(8x)=0 is (1)0 (2) ...

    Text Solution

    |