Home
Class 12
MATHS
Show that "sin"^(-1)(8/17)+"sin"^(-1)(3/...

Show that `"sin"^(-1)(8/17)+"sin"^(-1)(3/5)="cos"^(-1)(36/85)`.

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

Prove statement "sin"^(-1) 3/5+ "sin"^(-1) 8/17="cos"^(-1) 36/85

Prove that: cos^(-1)(12/13)+sin^(-1)(3/5)=sin^(-1)(56/65)

Prove the Statement: "sin"^(-1)12/13-"sin"^(-1) 3/5 ="sin"^(-1) 33/65

Prove that sin^(-1)((3)/(5)) + sin^(-1)((8)/(17)) = cos^(-1)((36)/(85)) .

Directions (Q. Nos. 16-25) Prove the following "sin"^(-1)(5/(13))+"cos"^(-1)(3/(5))="tan"^(-1)(63/(16)) .

2sin^(-1)(4/5)+sin^(-1)(24/25) = __.

Prove that: sin^(-1)(3/5)+sin^(-1)(8/17)=tan^(-1)(77/36) .

Solve "sin"^(-1)(3/(5))+"sin"^(-1)(8/(17)) .

Prove statement "sin"^(-1) 3/5+ "cos"^(-1)12/13="cos"^(-1) 33/65

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

ARIHANT PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -Part II (QUESTIONS FOR PRACTICE)
  1. Write "cot"^(-1)(1/(sqrt(x^(2)-1))),|x|gt1 in simplest form.

    Text Solution

    |

  2. Prove that "tan"^(-1)(1/4)+"tan"^(-1)(2/9)=1/2"tan"^(-1)(4/3).

    Text Solution

    |

  3. Show that "sin"^(-1)(8/17)+"sin"^(-1)(3/5)="cos"^(-1)(36/85).

    Text Solution

    |

  4. If "tan"^(-1)x+"tan"^(-1)y=pi/4,xylt1, then write the value of x+y+x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |