Home
Class 12
MATHS
Prove that: tan^(-1) \ 2/3=1/2tan^(-1) \...

Prove that: `tan^(-1) \ 2/3=1/2tan^(-1) \ 12/5`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

Prove that 4 tan^(-1) . 1/5 - tan^(-1) . 1/70 + tan^(-1) . 1/99 = pi/4

Prove that tan^(-1) 2 + tan^(-1) 3 = (3pi)/4

Prove that: 2tan^(-1)1/2+tan^(-1)1/7=tan^(-1)(31)/(17)

Prove that: tan^(-1)x+tan^(-1)(1/x)=pi/2

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

Prove that : "tan"^(-1)1/5+"tan"^(-1)1/7+"tan"^(-1)1/3+"tan"^(-1)1/8=pi/4

Prove that : tan^(-1)(1/4)+tan^(-1)(2/9)=sin^(-1)(1/sqrt5) .

Prove that : 2"sin"^(-1)3/5="tan"^(-1)24/7

Prove that tan ^(-1)(1/5) + tan^(-1)(1/7) +tan^(-1)(1/3)+ tan ^(-1)(1/8) = pi/4

ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove the following sin^(- 1)(3/5)+sin^(- 1)(8/17)=sin^(- 1)(77/85)

    Text Solution

    |

  2. cos^(- 1)x=2sin^(- 1)sqrt((1-x)/2)=2cos^(- 1)sqrt((1+x)/2)

    Text Solution

    |

  3. Prove that: tan^(-1) \ 2/3=1/2tan^(-1) \ 12/5

    Text Solution

    |

  4. the value of 3tan^- 1(1/4)+tan^- 1(1/20)+tan^- 1(1/1985)

    Text Solution

    |

  5. If sin^2x + sin^2y < 1 ; x, y in R then prove that sin^-1(tanx . tany...

    Text Solution

    |

  6. Prove that : cot^(-1)((1+ab)/(a-b))+cot^(-1)((1+bc)/(b-c))+cot^(-1)((1...

    Text Solution

    |

  7. Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x) = pi If x satisfies the equa...

    Text Solution

    |

  8. If alpha=2 tan^(-1)((1+x)/(1-x)) and beta= sin^(-1)((1-x^2)/(1+x^2...

    Text Solution

    |

  9. solve:sin^-1x+sin^-1 2x=pi/3

    Text Solution

    |

  10. Arithmetic mean of the non-zero solutions of the equation tan^-1 (1/(2...

    Text Solution

    |

  11. Solve for x : tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)=tan^(-1)3x

    Text Solution

    |

  12. Solve sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)

    Text Solution

    |

  13. Solve the following equation: sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x

    Text Solution

    |

  14. If 1/2tan^(- 1)((2x)/(x^2-1))+cos^(- 1)((x^2-1)/(x^2+1))=(2pi)/3 the...

    Text Solution

    |

  15. Find the sum of the series :(tan^- 1)1/3+(tan^- 1)2/9+....+(tan^- 1)(2...

    Text Solution

    |

  16. Find the sum to n terms cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+ cot^(-1)...

    Text Solution

    |

  17. Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+...

    Text Solution

    |

  18. Find the domain of definition the following function: f(x)=log(10)(1-l...

    Text Solution

    |

  19. નીયેના બહુવિકલ્પ પ્રશ્નોના જ​વાબ માટે સાયો વિકલ્પ પસંદ કરો: sin^(-1...

    Text Solution

    |

  20. tan^(-1)(m/n)+tan^(-1)((n-m)/(n+m))=?

    Text Solution

    |