Home
Class 12
MATHS
Prove that sin^-1[3/5]+sin^-1[4/5]=pi/2...

Prove that `sin^-1[3/5]+sin^-1[4/5]=pi/2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos

  • LINEAR PROGRAMING

    RD SHARMA ENGLISH|Exercise All Questions|4 Videos

Similar Questions

Explore conceptually related problems

Prove that 2sin^-1[3/5]-tan^-1[17/31]=pi/4

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 that: sin^(-1)(3/5)=tan^(-1)(3/4)

Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2

Prove that: sin^-1 (3/5) +cos^-1 (12/13)+cot^-1 (56/33)=pi/2

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

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

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

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

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=ta...

    Text Solution

    |

  2. Evaluate: tan(2tan^(-1)(1/5))

    Text Solution

    |

  3. Prove that sin^-1[3/5]+sin^-1[4/5]=pi/2

    Text Solution

    |

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

    Text Solution

    |

  5. Find the value of expression: sin(2tan^(-1)(1/3))+cos(tan^(-1)2sqrt(2)...

    Text Solution

    |

  6. Find the principal value of the following: """"" sin^(-1){cos(sin^(...

    Text Solution

    |

  7. If x , y , z in [-1,1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=-(3pi)/...

    Text Solution

    |

  8. Find the domain of the function f(x)=sin^(-1)sqrt(x-1)

    Text Solution

    |

  9. Find the domain of f(x)=sin^(-1)x+cosxdot

    Text Solution

    |

  10. Find the domain of f(x)=sin^(-1)(-x^2)dot

    Text Solution

    |

  11. Find the domain of the function f(x)=sin^(-1)(2x-3)

    Text Solution

    |

  12. Find the value of sin^(-1)[cos{sin^(-1)(-(sqrt(3))/2)}]

    Text Solution

    |

  13. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, find the value of x^2+y^2+z...

    Text Solution

    |

  14. Find the domain of function: f(x)=sin^(-1)sqrt(x^2-1)

    Text Solution

    |

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

    Text Solution

    |

  16. Solve the equation: cos^(-1)(a/x)-cos^(-1)(b/x)=cos^(-1)(1/b)-cos^(-1)...

    Text Solution

    |

  17. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, prove that x^2+y^2+z^2+2x y z=1.

    Text Solution

    |

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

    Text Solution

    |

  19. Solve sin^(-1)x+sin^(-1)2x=pi/3dot

    Text Solution

    |

  20. Solve the following equations: sin^(-1)((3x)/5)+sin^(-1)((4x)/5)=sin^...

    Text Solution

    |