Home
Class 12
MATHS
If -1 le x le -1/2, then sin^(-1)(3x-4x^...

If `-1 le x le -1/2`, then `sin^(-1)(3x-4x^3)` equals

A

`3 sin^(-1) x `

B

`pi -3 sin^(-1) x `

C

`-pi -3 sin^(-1)x`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|72 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

If -1/2 le x le 1/2 then sin^(-1)3x-4x^(3) equals

If 1/2 le x le 1 then sin^(-1)3x-4x^(3) equals

if -1 le x le -1/2 then cos^(-1)(4x^(3)-3x) equals

if -1/2 le x le 1/2 then cos^(-1)(4x^(3)-3x) equals

If 1/2 le x le 1 then cos^(-1)(4x^(3)-3x) equals

If -1 le x le -(1)/sqrt(2) then sin^(-1)2xsqrt(1-x^(2)) equals

If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

If (1)/sqrt(2) le x le 1 then sin^(-1) 2xsqrt(1-x^(2)) equals

If -1 le x le 0 then cos^(-1)(2x^(2)-1) equals

OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Chapter Test
  1. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

    Text Solution

    |

  2. If tantheta + tan(theta + pi/3) + tan(theta-pi/3)= Ktan3theta, then K ...

    Text Solution

    |

  3. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

    Text Solution

    |

  4. The numerical value of "tan"(2tan^(-1)(1/5)-pi/4 is equal to

    Text Solution

    |

  5. If tan(x+y)=33, and x= tan^(-1)3, then: y=

    Text Solution

    |

  6. Two angles of a triangle are cot^-1 2 and cot^-1 3, then the third ang...

    Text Solution

    |

  7. The greater of the two angles A=2tan^(-1)(2sqrt(2)-1) and B=3sin^(-1)(...

    Text Solution

    |

  8. Let a, b and c be positive real numbers. Then prove that tan^(-1) sqrt...

    Text Solution

    |

  9. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2) the value of x^(100)+y^(10...

    Text Solution

    |

  10. The value of (alpha^(3))/(2) cosec^(2) ((1)/(2) tan^(-1) ((alpha)/(bet...

    Text Solution

    |

  11. If a,b are positive quantitis and if a(1)=(a+b)/(2), b(1)=sqrt(a(1)b) ...

    Text Solution

    |

  12. tan""(2pi)/(5)-tan""(pi)/(15)-sqrt3tan""(2pi)/(5)tan""(pi)/(15) is equ...

    Text Solution

    |

  13. If a(1), a(2), a(3),...., a(n) is an A.P. with common difference d, th...

    Text Solution

    |

  14. If x=sin(2tan^(- 1)2), y=sin(1/2tan^(- 1)(4/3)) , then -

    Text Solution

    |

  15. Which of the following angles is greater? theta1=sin^(-1)+sin^(-1)1/3o...

    Text Solution

    |

  16. The value of cos[1/2 cos^(-1){cos(sin^(-1)((sqrt63)/(8)))}] is

    Text Solution

    |

  17. Solve for x: - tan^(-1)("x"+1)+tan^(-1)("x"-1)=tan^(-1) (8/31)

    Text Solution

    |

  18. If alpha = sin^(-1)(sqrt(3)/2)+sin^(-1)(1/3) , beta =cos ^(-1)(sqrt(3)...

    Text Solution

    |

  19. The sum of the two angles cot^(-1) 3 and cosec^(-1) sqrt(5) is

    Text Solution

    |

  20. Show that: cos(2tan^(-1)1/7)=sin(4^(-1)1/3)

    Text Solution

    |