Home
Class 12
MATHS
Prove each of the followingsin^(- 1)(3/5...

Prove each of the following`sin^(- 1)(3/5)+sin^(- 1)(8/17)=sin^(- 1)(77/85)`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Evaluate each of the following: sin^(-1)(sin3) (ii) sin^(-1)(sin4)

Evaluate each of the following: sin^(-1)(sin12) (ii) sin^(-1)(sin2)

sin^(-1)((8)/(17))+sin^(-1)((3)/(5))=

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

Show that : sin^(-1)(8/(17))+sin^(-1)(3/5)=sin^(-1)(77/85)

Solve the following sin^(-1) . 1/5 + sin^(-1) . 2/3 = sin^(-1) x

Show that sin^(-1)((3)/(5))-sin^(-1)((8)/(17))=cos^(-1)((84)/(85))

Evaluate each of the following: sin^(-1)((sin(13 pi))/(7))( ii) sin^(-1)((sin(17 pi))/(8))( iii) sin^(-1){(s in-(17 pi)/(8))}

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

Evaluate each of the following: sin((cot^(-1)4)/(3)) (ii) sin((sec^(-1)(17))/(15)) (iii) sin(csc^(-1)(17)/(8))

ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If f(x)=cos^(- 1)x+cos^(- 1){x/2+1/2sqrt(3-3x^2)}then

    Text Solution

    |

  2. If cos^(-1)x/a+cos^(-1)y/b=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)c...

    Text Solution

    |

  3. Prove each of the followingsin^(- 1)(3/5)+sin^(- 1)(8/17)=sin^(- 1)(77...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)b epidot If x satisfies the e...

    Text Solution

    |

  10. If alpha=2 arc t a n((1+x)/(1-x)) in B=a r c s i n((1-x^2)/(1+x^2))...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |