Home
Class 12
MATHS
If "cos"^(-1)alpha+"cos"^(-1)beta+"cos"^...

If `"cos"^(-1)alpha+"cos"^(-1)beta+"cos"^(-1)gamma=3pi`, then find `alpha(beta+gamma)+beta(gamma+alpha)+gamma(alpha+beta)`.

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS|88 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |35 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT PUBLICATION|Exercise Part II (Sample Question )|29 Videos
  • INTEGRATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (6 MARK)|4 Videos
  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos

Similar Questions

Explore conceptually related problems

Given cos alpha+cos beta +cos gamma=sin alpha+sin beta +sin gamma=0 Show that cos3 alpha+cos3 beta+cos 3gamma = 3 cos(alpha +beta+ gamma)

If cosalpha=cosbeta , then alpha+beta= ____

Using properties of determinant prove that |{:(alpha,beta,gamma),(alpha^2,beta^2,gamma^2),(beta+gamma,gamma+alpha,alpha+beta):}|=(alpha-beta)(beta-gamma)(gamma-alpha)(alpha+beta+gamma)

int 2 sin (alpha-beta) x sin (alpha+beta) x dx

Find the area bounded by xy=a^2,y=0,x=alpha,x=beta(beta gt alpha gt0)

Differentiate between alpha and gamma diversity.

ARIHANT PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -Part II (QUESTIONS FOR PRACTICE)
  1. If "tan"^(-1)x+"tan"^(-1)y=pi/4,xylt1, then write the value of x+y+x...

    Text Solution

    |

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

    Text Solution

    |

  3. Show that tan((1)/(2)"sin"^(-1)(3)/(4))=(4-sqrt(7))/(3).

    Text Solution

    |

  4. Solve for x, cos (2sin^(-1)x)=(1)/(9), x gt 0.

    Text Solution

    |

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

    Text Solution

    |

  6. If "tan"^(-1)((x-2)/(x-4))+"tan"^(-1)((x+2)/(x+4))=pi/(4), then find t...

    Text Solution

    |

  7. Solve for x, "tan"^(-1)((2x)/(1-x^(2)))+""cot"^(-1)((1-x^(2))/(2x))=...

    Text Solution

    |

  8. Find the value of expression "sin"(2"tan"^(-1)1/(3))+"cos"("tan"^(-1...

    Text Solution

    |

  9. Solve for x, 2 tan ^(-1)(cos x) =tan^(-1) (2"cosec"x).

    Text Solution

    |

  10. If "tan"^(-1)a+"tan"^(-1)b+"tan"^(-1)c=pi, then prove that a+b+c=abc.

    Text Solution

    |

  11. Solve for x, "tan"^(-1)x+2"cot"^(-1)x=(2pi)/(6).

    Text Solution

    |

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

    Text Solution

    |

  13. Prove that following cot^(-1)((xy+1)/(x-y)) +cot^(-1)((yz+1)/(y-z))+...

    Text Solution

    |

  14. If "cos"^(-1)alpha+"cos"^(-1)beta+"cos"^(-1)gamma=3pi, then find alpha...

    Text Solution

    |

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

    Text Solution

    |

  16. Prove that 2"tan"^(-1)(1/(5))+"sec"^(-1)((5sqrt(2))/(7))+2"tan"^(-1)(1...

    Text Solution

    |

  17. If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...

    Text Solution

    |

  18. Solve for x, "tan"^(-1)(x+1)+"tan"^(-1)(x-1)="tan"^(-1)8/(31)[0ltxlt1]...

    Text Solution

    |

  19. Express "sin"^(-1)[(sqrt(1+x)+sqrt(1-x))/(2)],0ltxlt1 in the simplest ...

    Text Solution

    |

  20. If (tan^(-1)x)^(2) +(cot^(-1)x)^(2) =(5pi^(2))/(8), then find x.

    Text Solution

    |