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 ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If the equation sin^(-1)(x^2+x +1)+cos^(-1)(lambda x+1)=pi/2 has exactly two solutions, then the value of lambda is

cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

The value of cot^(-1)(-sqrt3)+cosec^(-1)(2)+tan^(-1)(sqrt3) is

int (dx)/sqrt(1-tan^2 x)=1/lambda sin^-1 (lambdasinx)+C ,then lambda=

If x , y in R , then the determinant = |(cos x , -sin x,1),(sin x, cos x,1),(cos(x+y), -sin(x+y), 0)| lies in the interval (a) [-sqrt(2),sqrt(2)] (b) [-1,1] (c) [-sqrt(2),1] (d) [-1,-sqrt(2)]

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

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

Find the value of tan^(-1) sqrt3 - cot^(-1) (-sqrt3)

If sin^2thetacos^2theta(1+tan^2theta)(1+cot^2theta)=lambda , then find the value of lambda .

Let J=int_(0)^(1)cot^(-1)(1-x+x^(2))dx and K= int_(0)^(1)tan^(-1)xdx .If J=lambda K (lambda in N) , then lambda equals

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Set of all values of x satisfying in inequation cos^(-1)sqrt(x)>sin^(-...

    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. Let f be an injective map. with domain (x, y, z and range (1, 2, 3), s...

    Text Solution

    |

  5. The solution of the differential equation (x^2dy)/(dx)dotcos(1/x)-ysin...

    Text Solution

    |

  6. If 1 tan^(-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 reamainder left out when 8^(2n) - (62)^(2n+1) is divided by 9 is

    Text Solution

    |

  10. If a N = {ax:x inN} andbNnncN=dN, where b, c inN are relatively prime...

    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 equation ...

    Text Solution

    |

  13. A chord is drawn to a conic section and its mid point lie one the di...

    Text Solution

    |

  14. The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If (1+3+5+7+…. (2p-1)) + (1+3+5+…..+ (2q-1)) = 1+3+5 +….+ (2r-1) , the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Let f(x)=int(1)^(x) sqrt(2-t^(2)) dt, then the real roots of the equa...

    Text Solution

    |