Home
Class 12
MATHS
The solution set of the equation sin^(...

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

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

Solve 2 cos^(-1) x = sin^(-1) (2 x sqrt(1 - x^(2)))

The solution set of the inequation cos^(-1)x lt sin^(-1)x is:

The solutions set of inequation cos^-1x lt sin^-1x is

int(2sin^-1x)/sqrt(1-x^2)dx =

Integrate the functions (sin^(-1)x)/(sqrt(1-x^(2)))

The solution of the equation sin[2cos^-1{cot(2tan^-1x)}] = 0 are

The solution set of inequality log_(1/2) sin^-1 x gt log_(1/2) cos^-1 x

y = sin^(-1)(1/sqrt(1+x^2)) + cos^(-1)(1/sqrt(1+x^2)) . find dy/dx .

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If we consider only the principal values of the inverse trigonometric ...

    Text Solution

    |

  2. The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...

    Text Solution

    |

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

    Text Solution

    |

  4. If |cos^(-1)((1-x^2)/(1+x^2))| < pi/3,t h e n (a) x in [-1/3,1/(sqrt(...

    Text Solution

    |

  5. The equation 3cos^(-1)x-pix-pi/2=0 has one negative solution, one posi...

    Text Solution

    |

  6. If alpha,beta(alpha < beta) are the roots of equation 6x^2+11x+3="0 , ...

    Text Solution

    |

  7. If 2^(2pi//sin^(-1)x) - 2 (a + 2) 2^(pi//sin^(-1)x) + 8a lt 0 for at l...

    Text Solution

    |

  8. Which of the following is/are the value of "cos"[1/2cos^(-1)(cos(-(14p...

    Text Solution

    |

  9. 2tan^(-1)(-2) is equal to (a)-cos^(-1)((-3)/5) (b) -pi+cos^(-1)3/5 (...

    Text Solution

    |

  10. If the equation sin^(-1)(x^2+x+1)+cos^(-1)(lambda x+1)=pi/2 has exactl...

    Text Solution

    |

  11. Prove that costan^(-1)sincot^(-1)x=sqrt((x^2+1)/(x^2+2))

    Text Solution

    |

  12. Find the minimum value of the function f(x)=(pi^2)/(16cot^(-1)(-x))-co...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If (1)/(sqrt2) lt x lt 1, then prove that cos^(-1) x + cos^(-1) ((x + ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Prove that cos^(-1)x=2sin^(-1)(sqrt (1-x)/sqrt2)

    Text Solution

    |

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

    Text Solution

    |

  20. Prove that: cosec(tan^(-1)("cos"(cot^(-1)("sec"(sin^(-1)a)))))=sqrt(3-...

    Text Solution

    |