Home
Class 12
MATHS
If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) t...

If `tan(cos^(-1)x)="sin"(cot^(-1)(1/2))` then `x` is equal to- a.`1/sqrt(5)` b. `2/sqrt(5)` c. `3/sqrt(5)` d. `sqrt(5)/3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) 1/sqrt(5) B) (-2/sqrt(5)) C) (2/sqrt(5)) D) 1

If tan^(-1)x+2cot^(-1)x=(2 pi)/(3), then x, is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3)(d)sqrt(2)

If x=5+2sqrt(6), then (x-1)/(sqrt(x)) is equal to a.sqrt(2) b.sqrt(3)c.2sqrt(2)d.2sqrt(3)

If sin^(-1)x+cot^(-1)((1)/(2))=(pi)/(2), then x is 0b(1)/(sqrt(5))c*(2)/(sqrt(5))d*(sqrt(3))/(2)

tan (sec ^ (- 1) x) = sin (cos ^ (- 1) ((1) / (sqrt (5))))

If x tan45o cos60o=sin60o cot60o, then x is equal to 1(b)sqrt(3)(c)(1)/(2)(d)(1)/(sqrt(2))

If sin^-1(1/3)+sin^-1 (2/3)= sin^-1 x then x is equal to (A) (4+sqrt(5)/9 (B) (4sqrt(2)+sqrt(5)/9 (C) (sqrt(3)+1)/6 (D) 1

1/(sqrt(2)+sqrt(3)+sqrt(5))+1/(sqrt(2)+sqrt(3)-sqrt(5))

ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If x=T a n^(- 1)(1)+cos^(- 1)(-1/2)+sin^(- 1)(-1/2) and y=cos[1/2cos...

    Text Solution

    |

  2. If sin^(-1)x+cot^(-1)(1/2)=pi/2,\ t h e n\ x is a. 0 b. 1/(sqrt(5)) c....

    Text Solution

    |

  3. If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a.1/sqrt(5)...

    Text Solution

    |

  4. sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is true if- x in [0,\ 1]\ b. [-1/(...

    Text Solution

    |

  5. Domain of the explicit from of the function y represented implicity by...

    Text Solution

    |

  6. If cos^(- 1)x-cos^(- 1)(y/2)=alpha then 4x^2-4xycosalpha+y^2=

    Text Solution

    |

  7. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+x y z=0 x^...

    Text Solution

    |

  8. The solution of the inequality (tan^(-1)x)^2-3tan^(-1)x+2geq0 is- a.(-...

    Text Solution

    |

  9. cos^(-1)x = tan^(-1)x, then: a. x^2=((sqrt(5)-1)/2) b. x^2=((sqrt(5)+1...

    Text Solution

    |

  10. The value of sin\ (1/2cot^(-1)(-3/4))+cos(1/2cot^(-1)(-3/4)) is/are eq...

    Text Solution

    |

  11. Find the value of tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A),f...

    Text Solution

    |

  12. For the equation 2x=tan(2tan^(-1)a)+ 2tan \ (tan^(-1)a+tan^(-1)a^3) , ...

    Text Solution

    |

  13. The value of [tan{pi/4+1/2sin^(-1)(a/b)}]^(-1)

    Text Solution

    |

  14. Which of the following pairs of function/functions has same graph? y=...

    Text Solution

    |

  15. The solution set of equation sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(...

    Text Solution

    |

  16. The solution set of the equation sin^(-1)sqrt(1-x^2)+cos^(-1)x=cot^(-...

    Text Solution

    |

  17. if 0 lt x lt 1 then tan^(-1)= sqrt(1-x^2)/(1+x^2) is equal to (i) 1/...

    Text Solution

    |

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

    Text Solution

    |

  19. If [sin^-1x]+[cos^-1x]=0, where 'x' is a non negative real number and ...

    Text Solution

    |

  20. Value of k for which the point (alpha,sin^(-1)alpha)(alpha>0) lies ins...

    Text Solution

    |