Home
Class 12
MATHS
Simplify: sin^(-1)((sinx+cosx)/(sqrt(2))...

Simplify: `sin^(-1)((sinx+cosx)/(sqrt(2)))` where` - π/4 < x < π/4`

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

Simplify: cos^-1((sinx+cosx)/(sqrt(2)))

Simplify: cos^(-1) ((sinx+cosx)/(sqrt(2))) , π/4 < x < (5π)/4

int((sinx+cosx)/(sqrt(sin2x))dx

Simplify each of the following: sin^(-1)((sinx+cosx)/(sqrt(2)))

int(sinx+cosx)/(sqrt(1+sin2x))dx

Simplify each of the following: sin^(-1)((sinx+cosx)/(sqrt(2))),\ pi/4 < x < (5pi)/4 (ii) cos^(-1)((sinx+cosx)/(sqrt(2))), (5pi)/4 < x < (9pi)/4

Simplify: sin^(-1)(5/(13)cosx+(12)/(13)sinx)

simplify cos^(-1) ((sinx+cosx)/sqrt2) , pi/4 < x < (5pi )/4

int (sinx+cosx)/sqrt(1+sin2x)dx .

Differentiate the following function with respect to x : sin^(-1){(sinx+cosx)/(sqrt(2))} , -(3pi)/4 lt xlt pi/4

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Simplify each of the following: cos^(-1)(3/5cosx+4/5sinx) , where -(3p...

    Text Solution

    |

  2. Simplify: sin^(-1)(5/(13)cosx+(12)/(13)sinx)

    Text Solution

    |

  3. Simplify: sin^(-1)((sinx+cosx)/(sqrt(2))) where - π/4 < x < π/4

    Text Solution

    |

  4. Simplify: cos^(-1)((sinx+cosx)/(sqrt(2))),π/4 < x <(5π)/4

    Text Solution

    |

  5. Simplify each of the following: sin^(-1)((sinx+cosx)/(sqrt(2))),\ pi...

    Text Solution

    |

  6. Evaluate the following: sin^(-1)(sin10) (ii) sin^(-1)(sin5)

    Text Solution

    |

  7. Evaluate the following: cos^(-1)(cos10) (ii) tan^(-1){tan(-6)}

    Text Solution

    |

  8. Evaluate each of the following: sin^(-1)(sin(pi/6)) (ii) sin^(-1)(si...

    Text Solution

    |

  9. Evaluate each of the following: (i)sin^(-1)(sin((13pi)/7)) (ii) sin^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Evaluate each of the following: (i)cos^(-1){cos(-pi/4)} (ii) cos^(-1...

    Text Solution

    |

  13. Evaluate each of the following: (i)cos^(-1)(cos((13pi)/6)) (ii) cos^...

    Text Solution

    |

  14. Evaluate each of the following: cos^(-1)(cos5) (ii) cos^(-1)(cos12)

    Text Solution

    |

  15. Evaluate each of the following: tan^(-1)(tanpi/3) (ii) tan^(-1)(tan...

    Text Solution

    |

  16. Evaluate each of the following: tan^(-1)(tan(9pi)/4) (ii) tan^(-1)(...

    Text Solution

    |

  17. Evaluate each of the following: tan^(-1)(tan4) (ii) tan^(-1)(tan12)

    Text Solution

    |

  18. Evaluate each of the following: sec^(-1)(secpi/3) (ii) sec^(-1)(sec(2p...

    Text Solution

    |

  19. Evaluate each of the following: sec^(-1)(sec(7pi)/3) (ii) sec^(-1)(...

    Text Solution

    |

  20. Evaluate each of the following: sec^(-1)(sec(13pi)/4) (ii) sec^(-1)...

    Text Solution

    |