Home
Class 12
MATHS
If x in [-1,0], then find the value of c...

If `x in [-1,0],` then find the value of `cos^(-1)(2x^2-1)-2sin^(-1)x`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

Find the value of sin^(-1)x+sin^(-1)1/x+cos^(-1)x+cos^(-1)1/xdot

If x in (0, 1) , then find the value of tan^(-1) ((1 -x^(2))/(2x)) + cos^(-1) ((1 -x^(2))/(1 + x^(2)))

If sinx+sin^2x=1 , then find the value of cos^(12)x +3cos^(10)x + 3 cos^8x + cos^6x-1

If (x -1) (x^(2) + 1) gt 0 , then find the value of sin((1)/(2) tan^(-1).(2x)/(1 - x^(2)) - tan^(-1) x)

Find the range of f(x)=sqrt((cos^(-1)sqrt((1-x^2))-sin^(-1)x))

If x=(1)/(5),"the value of"cos(cos^(-1)x+2sin^(-1)x) is

If (x^(+(1)/(2)) + x^(-(1)/(2)))^(2) = (9)/(2) , then find the value of (x^((1)/(2))-x^(-(1)/(2))) for x gt 1 .

If cos (2 sin^(-1) x) = (1)/(9) , then find the value of x

If sin^(-1)x_i in [0,1]AAi=1,2,3, .28 then find the maximum value of sqrt(sin^(-1)x_1)sqrt(cos^(-1)x_2)+sqrt(sin^(-1)x_2)sqrt(cos^(-1)x_3)+ sqrt(sin^(-1)x_3)sqrt(cos^(-1)x_4)++sqrt(sin^(-1)x_(28))sqrt(cos^(-1)x_1)

If sin^(-1)((1)/(2))=tan^(-1)x, then find the value of x.

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the minimum value of the function f(x)=(pi^2)/(16cot^(-1)(-x))-co...

    Text Solution

    |

  2. Find the range of y=(cot^(-1)x)(cot^(-1)(-x))dot

    Text Solution

    |

  3. If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

    Text Solution

    |

  4. If 1/(sqrt(2))<x<1 then prove that cos^(-1)x+cos^(-1)((x+sqrt(1-x^2))/...

    Text Solution

    |

  5. Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/2}=pi/4+(cos^(-1)x)/2,""0 <...

    Text Solution

    |

  6. Prove that cos^(-1)((1-x^(2n))/(1+x^(2n)))=2tan^(-1)x^n ,0 lt x lt oo

    Text Solution

    |

  7. Prove that cos^(-1){(1+x)/2}=(cos^(-1)x)/2

    Text Solution

    |

  8. Prove that tan^(-1){x/(a+sqrt(a^2-x^2))}=1/2sin^(-1)x/a ,-a lt x lt a

    Text Solution

    |

  9. Prove that: cos e c(tan^(-1)("cos"(cot^(-1)("sec"(sin^(-1)a)))))=sqrt(...

    Text Solution

    |

  10. If x lt 0, then prove that cos^(-1) x = pi - sin^(-1) sqrt(1 - x^(2))

    Text Solution

    |

  11. If cos^(-1)x-cos^(-1)y/2=alpha,t h e n4x^2-4x ycosalpha+y^2 is equal t...

    Text Solution

    |

  12. If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi,t h e nx^4+y^2+z^4+4x^2y^2z^2=K(x^...

    Text Solution

    |

  13. If f(x)=sin^(-1)((sqrt(3))/2x-1/2sqrt(1-x^2)),-1/2lt=xlt=1,t h e nf(x)...

    Text Solution

    |

  14. Let |[tan^(-1)x,tan^(-1)2x,tan^(-1)3x],[tan^(-1)3x,tan^(-1)x,tan^(-1)2...

    Text Solution

    |

  15. If x1=2tan^(-1)((1+x)/(1-x)),x2=sin^(-1)((1-x^2)/(1+x^2)) , where x in...

    Text Solution

    |

  16. If u=cot^(-1)sqrt(tanalpha)-tan^(-1)sqrt(tanalpha),t h e ntan(pi/4- u/...

    Text Solution

    |

  17. If the equation x^3+b x^2+c x+1=0,(bltc), has only one real root alpha...

    Text Solution

    |

  18. The value of sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^2)] is equal to

    Text Solution

    |

  19. Which of the following is the solution set of the equation 2cos^(-1)x=...

    Text Solution

    |

  20. The number of solution of equation sin^(-1)x+nsin^(-1)(1-x)=(mpi)/2,w ...

    Text Solution

    |