Home
Class 12
MATHS
Prove that: cos^(-1)(12/13)+sin^(-1)(3/5...

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

Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS

    SHARAM PUBLICATION|Exercise EXAMPLE|188 Videos

  • LINEAR PROGRAMMING

    SHARAM PUBLICATION|Exercise EXAMPLE|37 Videos

Similar Questions

Explore conceptually related problems

Prove that: cos^(-1)(4/5)+cos^(-1)(12/13)=cos^(-1)(33/65)

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

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

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

Prove that sin^(-1)((4)/(5)) +sin^(-1)((5)/(13)) +sin^(-1)((16)/(65)) =(pi)/(2)

Prove that sin^-1(4/5)+ sin^-1(5/13)+ sin^-1(16/65)= pi/2

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

Prove that ( cos^(-1) ""(3)/(5) + sin^(-1)""(5)/(13) ) = sin^(-1)((63)/(65))

Prove that sin( cos^(-1) ""(3)/(5) + sin^(-1)""(5)/(13) ) = (63)/(65)

SHARAM PUBLICATION-INVERSE TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. Evaluate "cos"(2"cos"^(-1)x+"sin"^(-1)x) at x=1/(5), where 0le"cos"^(-...

    Text Solution

    |

  2. Prove that tan^(-1)sqrt(x) =(1)/(2) cos^(-1)((1-x)/(1+x)), x in (0, 1)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Directions (Q. Nos. 16-25) Prove the following "cos"["tan"^(-1){"sin...

    Text Solution

    |

  6. Solve the following equation: "cos"("tan"^(-1)x)="sin"("cot"^(-1)3/(...

    Text Solution

    |

  7. Solve : tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x

    Text Solution

    |

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

    Text Solution

    |

  9. Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3

    Text Solution

    |

  10. Prove that cos^(-1)(x)+ cos^(-1){(x)/(2)+sqrt(3-3x^(2))/(2)}=(pi)/(3).

    Text Solution

    |

  11. Prove that: cot^(-1)7+cot^(-1)18=cot^(-1)5.

    Text Solution

    |

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

    Text Solution

    |

  13. Prove that sin^(-1)((4)/(5)) +sin^(-1)((5)/(13)) +sin^(-1)((16)/(65)...

    Text Solution

    |

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

    Text Solution

    |

  15. Solve equation 3"tan"^(-1)1/((2+sqrt3)) - "tan"^(-1) 1/x ="tan"^(-1) 1...

    Text Solution

    |

  16. Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2).

    Text Solution

    |

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

    Text Solution

    |

  18. Solve: "tan"^(-1)(x-2)/(x-2) + "tan"^(-1) (x+1)/(x+2)=pi/4

    Text Solution

    |

  19. Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...

    Text Solution

    |

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

    Text Solution

    |