Home
Class 12
MATHS
If the equation sin(cot^(-1)(cot^(-1)(ta...

If the equation `sin(cot^(-1)(cot^(-1)(tan^(-1))))=lambda` has a solution, then `lambda` lies in the interval a.`(0,1]` b. `[1/(sqrt(2)),1]` c. `[1/(sqrt(2)),1/(sqrt(2))]` d. `(-oo,1]`

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 cot^(-1)(sqrt(cos1))-tan^(-1)(sqrt(cos1))=alpha then the value of sin alpha is -

If tan^(-1) (sqrt( 1 +x^(2)) -1)/x = lambda tan^(-1)x then the value of lambda is

The value of cos(tan^(-1)sqrt(15))+sin(2tan^(-1)(1/3)) Is (lambda)/(20) where lambda equals

Prove that: csc(tan^(-1)(cos(cot^(-1)(sec(sin^(-1)a)))))=sqrt(3-a^(2)) where a in[0,1]

If int_(0)^(1)cot^(-1)(1-x+x^(2))dx=lambda int_(0)^(1)tan^(-1)xdx, then lambda is equal to 1( b) 2(c)3(d)4

Prove that cos tan^(-1)sin cot^(-1)x=sqrt((x^(2)+1)/(x^(2)+2))

(d)/(dx)[cot^-1((1+sqrt(1-x^(2)))/(x))]=

sin^(-1)(2x sqrt(1-x^(2)))=2sin^(-1)x is true if- x in[0,1] b.[-(1)/(sqrt(2)),(1)/(sqrt(2))] c.[-(1)/(2),(1)/(2)]d[-(sqrt(3))/(2),(sqrt(3))/(2)]

The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all real values (b) |a|<(1)/(a)|a|<=(1)/(sqrt(2))( d) (1)/(2)<|a|<(1)/(sqrt(2))

The value of cot[(1)/(2)(sin^(-1))(sqrt(3))/(2)] is

RESONANCE DPP-JEE MAINS-All Questions
  1. Set of all values of x satisfying in inequation cos^(-1)sqrt(x)&gt;si...

    Text Solution

    |

  2. Consider the conic ex^(2)+piy^(2)-2e^(2)x-2pi^(2)y+e^(3)+pi^(3)= pie. ...

    Text Solution

    |

  3. If the equation sin(cot^(-1)(cot^(-1)(tan^(-1))))=lambda has a soluti...

    Text Solution

    |

  4. For 2lt=r

    Text Solution

    |

  5. Let f be an injective function with domain {x, y, z} and range {1, 2, ...

    Text Solution

    |

  6. If 2tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is independent of ' x ' then (...

    Text Solution

    |

  7. Minimum value of a^2cos e c^2theta+b^2sec^2theta is (where a b >0 )

    Text Solution

    |

  8. The solution set of the inequality 4(cos^(-1)x)^2-1geq0 is a.[-1,cos...

    Text Solution

    |

  9. The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...

    Text Solution

    |

  10. if a N={a x:x iin N} and b N cap c N , where b,c in Nare relative...

    Text Solution

    |

  11. The equation of the circle of radius 5 in the first quadrant which ...

    Text Solution

    |

  12. Number of solutions in the interval [0,2pi] satisfying the equatio...

    Text Solution

    |

  13. The area bounded by the curves y=|x|-1a n dy=-|x|+1 is a.1 b. 2 ...

    Text Solution

    |

  14. If t(r)=(1^(2)+2^(2)+3^(2)+….+r^(2))/(1^(3)+2^(3)+3^(3)+…+r^(3)), S(n)...

    Text Solution

    |

  15. The area of the closed figure bounded by x=-1,x=2a n dy={-x^2+2,xlt...

    Text Solution

    |

  16. if (1+3+5+7+....(2p-1))+(1+3+5+...+(2q-1)) =1+3+5+...+(2r -1), then le...

    Text Solution

    |

  17. The interval [a ,b] such that the value of inta^b(2+x-x^2)dx is maxi...

    Text Solution

    |

  18. A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2...

    Text Solution

    |

  19. Let f(x)=int1^xsqrt(2-t^2)dtdot Then the real roots of the equation ,...

    Text Solution

    |

  20. The sum of the co-efficient in the expansion of (1-2x+5x^2)^n is a a...

    Text Solution

    |