Home
Class 12
MATHS
Solve the equation sqrt(|sin^(-1)| cos x...

Solve the equation `sqrt(|sin^(-1)| cos x|| + |cos^(-1)| sin x||) = sin^(-1)|cos x | -cos^(-1)| sin x|, (-pi)/(2) le x le (pi)/(2)`

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

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

Solve sin^(-1) x + sin^(-1) (1 - x) = cos^(-1) x

Prove that sin^(-1) cos (sin^(-1) x) + cos^(-1) x = (pi)/(2), |x| le 1

Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

prove that sin^(-1) cos sin^(-1)x + cos^(-1) sin cos^(-1)x = pi /2

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

Solve the equation sin^-1 6x + sin^-1 6sqrt3 x = -pi/2

2 sin^2(pi/2 cos^2 x) = 1 - cos(pi sin 2x) . if

Solve 2 cos^(-1) x + sin^(-1) x = (2pi)/(3)

Solve the equation (sin x + cos x)^(1 + sin2x) = 2 , when -pi le x le pi .

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If sin^(-1)(x^2-4x+5)+cos^(-1)(y^2-2y+2)=pi/2 then find the value of x...

    Text Solution

    |

  2. Find the value of x for which sec^(-1)x+sin^(-1)x=pi/2dot

    Text Solution

    |

  3. Solve the equation sqrt(|sin^(-1)| cos x|| + |cos^(-1)| sin x||) = sin...

    Text Solution

    |

  4. If pgtqgt0 and prlt-1ltqr, then find the value of tan^(-1)((p-q)/(1+pq...

    Text Solution

    |

  5. Find the set of values of parameter a so that the equation (sin^(-1)x)...

    Text Solution

    |

  6. Solve for real values of x :((sin^(-1)x)^3+(cos^(-1)x)^3)/((tan^(-1)x+...

    Text Solution

    |

  7. If x1, x2, x3, x4 are roots of the equation x^4-x^3sin2beta+x^2cos2bet...

    Text Solution

    |

  8. If tan^(-1)y=4tan^(-1)x then prove that x^4-6x^2+1=0 when 1/y = 0 and ...

    Text Solution

    |

  9. Find the number of positive integral solution of the equation tan^(-1)...

    Text Solution

    |

  10. Find the sum cosec^(-1)sqrt(10)+cosec^(-1)sqrt(50)+cosec^(-1)sqrt(170)...

    Text Solution

    |

  11. Find the domain for f(x)=sin^(-1)((1+x^2)/(2x))

    Text Solution

    |

  12. If a,b,c are real positive numbers and theta =tan^(-1)[(a(a+b+c))/(bc)...

    Text Solution

    |

  13. If f(x)=sin^(-1)x then prove that lim(x->1/2)f(3x-4x^3)=pi-3lim(x-...

    Text Solution

    |

  14. Solve sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)

    Text Solution

    |

  15. Which of the following angles is greater? theta1=sin^(-1)(4/5)+sin^(-...

    Text Solution

    |

  16. Find the value underset(n rarr oo)("lim") underset(k =2)overset(n)su...

    Text Solution

    |

  17. If sin^(-1)((4x)/(x^2+4))+2tan^(-1)(-x/2) is independent of x , find t...

    Text Solution

    |

  18. If cos^(-1)((6x)/(1+9x^2))=-pi/2+2tan^(-1)3x , then find the value of ...

    Text Solution

    |

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

    Text Solution

    |

  20. Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

    Text Solution

    |