Home
Class 12
MATHS
Prove that (9pi)/8 - 9/4 sin^-1 (1/3) ...

Prove that
`(9pi)/8 - 9/4 sin^-1 (1/3) = 9/4 si^-1 ((2sqrt2)/3)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|279 Videos

  • INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|1126 Videos

  • LINEAR PROGRAMMING

    PRADEEP PUBLICATION|Exercise EXERCISE|135 Videos

Similar Questions

Explore conceptually related problems

Show that : (9pi)/8 - 9/4 sin^-1(1/3) = 9/4 sin^-1((2sqrt2)/3)

Prove that: (9pi/8) - (9/4)sin^-1(1/3) = (9/4)sin^-1(2sqrt2/3)

Prove that (9pi)/(8)-9/(4)"sin"^(-1)1/(3)=9/(4)"sin"^(-1)(2sqrt(2))/(3) .

Prove that : tan((1/2 )sin^-1(3/4)) = (4-sqrt7)/3

Prove that : 2 tan^-1(1/7) + tan^-1(1/3) = tan^-1(9/13)

Prove that tan^-1 (1/4) + tan^-1 (2/9) = 1/2 cos^-1 (3/5) = sin^-1(1/sqrt5)

Prove that : sin^-1 (-4/5) = cos^-1 (-3/5) - pi

Prove that sin^-1 (-(sqrt3)/(2)) = - (pi/3)

Prove that : cot^-1 3 + cosec^-1 sqrt5 = pi/4

Prove that sin^(-1)""(3)/(5)+sin^(-1)""(4)/(5)=(pi)/(2)

PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Prove that : cot^-1[(sqrt(1+sin x) + sqrt(1-sin x))/(sqrt1+sin x + sqr...

    Text Solution

    |

  2. Prove that tan^-1((sqrt(1+x)- (sqrt(1-x)))/(sqrt(1+x) + (sqrt(1-x)))...

    Text Solution

    |

  3. Prove that (9pi)/8 - 9/4 sin^-1 (1/3) = 9/4 si^-1 ((2sqrt2)/3)

    Text Solution

    |

  4. Solve the 2 tan^-1 (cos x) = tan^-1 (2 cosec x).

    Text Solution

    |

  5. Solve the following equations: tan^-1((1-x)/(1+x)) = 1/2 tan^-1 x, x...

    Text Solution

    |

  6. sin(tan^-1x), |x|<1 is equal to :

    Text Solution

    |

  7. If sin^-1(1-x) - 2sin^-1x = pi/2, then x is equal to :

    Text Solution

    |

  8. tan^-1(x/y)-tan^-1((x-y)/(x+y)) is equal to :

    Text Solution

    |

  9. Fill in the blanks: Domain of the function sin^-1 x is ……..

    Text Solution

    |

  10. Range of function cos^-1 x is :

    Text Solution

    |

  11. The principal value of tan^(-1)sqrt(3) is ............... .

    Text Solution

    |

  12. Find the value of sin^-1(sin (3pi/5))

    Text Solution

    |

  13. Fill in the blanks: Principal value of the function tan^-1 x lie in ...

    Text Solution

    |

  14. Fill in the blanks: tan^-1 1 + sin^-1 (-sqrt3/2) + cos^-1 (-sqrt3/2)...

    Text Solution

    |

  15. Principal value of cos^-1 (-1/2) is :

    Text Solution

    |

  16. Fill in the blanks: The value of cos^-1 (cos 14pi/3) is …………

    Text Solution

    |

  17. Fill in the blanks: The set of values of sec^-1 (1/2) is ……………

    Text Solution

    |

  18. Fill in the blanks: For x in R, tan^-1 (x^2 +1) + cot^-1 (x^2 +1) is...

    Text Solution

    |

  19. Fill in the blanks: If cos^-1 (-x) = alpha - cos^-1 x, then the valu...

    Text Solution

    |

  20. Fill in the blanks: For |x| ge sqrt2, sec^-1 sqrt(x^2 -1) + cosec^-1...

    Text Solution

    |