Home
Class 12
MATHS
sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is tr...

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

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

(x+1) sqrt(2x^(2)+3)

cos^(-1)(sqrt3/2)+2sin^(-1)(sqrt3/2) is _____

Show that, sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,-1/sqrt2lexle1/sqrt2

Differentiate sin^(-1)(4xsqrt(1-4x^(2)))w.r.t.sqrt(1-4x^(2)) , if x in(-(1)/(2sqrt2),(1)/(2sqrt2))

If sin^(-1)x+cot^(-1)(1/2)=pi/2,\ t h e n\ x is a. 0 b. 1/(sqrt(5)) c. 2/(sqrt(5)) d. (sqrt(3))/2

x^(2) + x + 1/sqrt(2)=0

cos^(- 1)x=2sin^(- 1)sqrt((1-x)/2)=2cos^(- 1)sqrt((1+x)/2)

Prove the following : sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,x in[-1/sqrt2,1/sqrt2]

Range of f(x) =sin^-1(sqrt(x^2+x+1)) is

ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, then, a. x^2+y^2+z^2+x y z=0 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Find the value of tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A)=....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. There are 6 books on mathematics, 4 books on physics annd 5 books on c...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The values of the parameter alpha for which the function f(x) = 1 + al...

    Text Solution

    |

  20. Solution set of the inequality sin^(-1)(sin((2x^2+3)/(x^2+1)))lt=pi-5/...

    Text Solution

    |