Home
Class 12
MATHS
The value of cos(sin^-1(2/3)) is equal t...

The value of `cos(sin^-1(2/3))` is equal to

A

`sqrt5/3`

B

`5/3`

C

`5/sqrt3`

D

`sqrt(5/3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INVERSE-TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|111 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|768 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos

Similar Questions

Explore conceptually related problems

The value of sin(2 sin^(-1)0.8) is equal to

The value of sin^-1 (sin (2π/3)) is :

The value of sin(2 tan^-1 (.75)) is equal to

The value of sin(cos^-1(3/5)) is:

The value of cos(sin^(-1)x+cos^(-1)x) is equal to

Let f_n(a)=(sinalpha+sin3alpha+sin5alpha+...+sin(2n-1)alpha)/(cosalpha+cos3alpha+cos5alpha+...+cos(2n-1)alpha) Then, the value of f_4(pi/32) is equal to

The value of sin^(-1)x+cos^(-1)x is

The value of cos (sin^-1 x + cos^-1 x) is equal to :

The value of cos (1/2 cos^(-1) . 1/8) is equal to

MODERN PUBLICATION-INVERSE-TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. The value of sin(2 sin^(-1)0.8) is equal to

    Text Solution

    |

  2. The value of tan^-1(sqrt3/2) + tan^-1(1/sqrt3) is equal to

    Text Solution

    |

  3. The value of cos(sin^-1(2/3)) is equal to

    Text Solution

    |

  4. If tan^-1 2x + tan^-1 3x = pi/2, then the value of x is equal to

    Text Solution

    |

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

    Text Solution

    |

  6. 2 cos^-1 x = sin^-1(2xsqrt(1-x^2)) is valid for all value of x satisfy...

    Text Solution

    |

  7. The number of real solutions of the equations: tan^-1 sqrt(x(x+1)) + s...

    Text Solution

    |

  8. If cos^-1 x - cos^-1 y/2 = alpha, then 4x^2 - 4xy cos alpha + y^2 is e...

    Text Solution

    |

  9. If sin^-1(x/5) + cosec^-1(5/4)= pi/2, then a value of x is

    Text Solution

    |

  10. The value of cot(cosec^-1(5/3) + tan^-1(2/3) is

    Text Solution

    |

  11. If 0 < x < 1, then : sqrt(1+x^1)[{ x cos(cot^-1x) + sin (cot^-1 x}^2 -...

    Text Solution

    |

  12. If tan^(-1) y = tan^(-1) x + tan^(-1)((2x)/(1 -x^(2)))", where" |x| lt...

    Text Solution

    |

  13. Find the value of sin^-1(sin(4pi)/5)

    Text Solution

    |

  14. show that: 2 sin^-1(3/5) = tan^-1(24/7)

    Text Solution

    |

  15. Write the value of tan^(-1)[2sin(2cos^(-1)""sqrt(3)/2)].

    Text Solution

    |

  16. show that tan^-1(1/2) + tan^-1(1/5) + tan^-1(1/8) = pi/4

    Text Solution

    |

  17. If tan^-1((x-2)/(x-4)) + tan^-1((x+2)/(x+4)) = pi/4 find the value of ...

    Text Solution

    |

  18. Prove that : tan^-1((cosx)/(1+sinx)) = pi/4 - x/2, x in (-pi/2,pi/2)

    Text Solution

    |

  19. Show that 2sin^-1(3/5)-tan^-1(17/31) = pi/4

    Text Solution

    |

  20. Prove that : tan^-1 x +tan^-1 2x/(1-x^2) = tan^-1 ((3x-x^3)/(1-3x^2)),...

    Text Solution

    |