Home
Class 12
MATHS
The value of tan{cos^(-1)1/(5sqrt(2))-si...

The value of `tan{cos^(-1)1/(5sqrt(2))-sin^(-1)4/(sqrt(17))}` is `(sqrt(29))/3` (b) `(29)/3` (c) `(sqrt(3))/(29)` (d) `3/(29)`

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

If we consider only the principal values of the inverse trigonometric functions , then the value of tan(cos^-1 (1/(5sqrt2)) -sin^-1 (4/sqrt(17))) is (a) sqrt(29)/3 (b) 29/3 (c) sqrt3/29 (d) 3/29

find the value of sin^(-1)(-sqrt3/2)+cos^(-1)(sqrt3/2)

The value of tan[(1)/(2)cos^(-1)((sqrt(5))/(3))] is :

Value of tan^(- 1){sin(cos^(- 1)sqrt(2/3))} is

The value of cos^(-1)(cos(2tan^(-1)((sqrt(3)+1)/(sqrt(4-2sqrt(3)))))) is

The value of tan^(-1)(sqrt3)+cos^(-1)((-1)/sqrt2)+sec^(-1)((-2)/sqrt3) is

Find the value of sin[tan^(- 1)(-sqrt(3))+cos^(- 1)((sqrt(3))/- 2)]

Find the value of tan^(-1) sqrt3 - cot^(-1) (-sqrt3)

The value of sin(1/4sin^(-1)((sqrt(63))/8)) is (a) 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

The value of sin^(-1){cot(sin^(-1)(sqrt((2-sqrt3)/4)+cos^(-1)(sqrt(12)/4)+sec^(-1)sqrt2)} is

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Find the principal values of cot^(-1)sqrt(3) and cot^(-1)(-1)

    Text Solution

    |

  2. For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))...

    Text Solution

    |

  3. The value of tan{cos^(-1)1/(5sqrt(2))-sin^(-1)4/(sqrt(17))} is (sqrt(2...

    Text Solution

    |

  4. sin(cot^(-1)(tan(cos^(-1)x))) is equal to a) x b) sqrt(1-x^2) c) 1/x d...

    Text Solution

    |

  5. Write the value of tan^(-1){2sin(2cos^(-1)(sqrt(3))/2)}dot

    Text Solution

    |

  6. Write the principal value of cos^(-1)(cos680^0)dot

    Text Solution

    |

  7. What is the principal value of sin^(-1)(-(sqrt(2))/2)?

    Text Solution

    |

  8. Write the principal value of cos^(-1)(cos((2pi)/3))+sin^(-1)(sin((2pi)...

    Text Solution

    |

  9. Find x if tan^(-1)(sqrt(3))+cot^(-1)x=pi/2

    Text Solution

    |

  10. If sin^(-1)(1/3)+cos^(-1)x=pi/2,then find x

    Text Solution

    |

  11. Write the value of 2sin^(-1)\ 1/2+cos^(-1)((a-b)/(a+b))

    Text Solution

    |

  12. Evaluate: sin^(-1)(sin((3pi)/5))

    Text Solution

    |

  13. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

    Text Solution

    |

  14. Prove that tan(cot^(-1)x)=cot(tan^(-1)x)

    Text Solution

    |

  15. Evaluate: tan{cos^(-1)(-7/(25))}

    Text Solution

    |

  16. Evaluate: sin{sin^(-1)(-(3)/5)+cot^(-1)(-5/(12))}

    Text Solution

    |

  17. If -1lt=x , ylt=1 such that sin^(-1)x+sin^(-1)y=pi/2, find the value o...

    Text Solution

    |

  18. If tan^(-1)x+tan^(-1)y=(4pi)/5, find cot^(-1)x+cot^(-1)ydot

    Text Solution

    |

  19. If tan^(-1)x-cot^(-1)x=tan^(-1)""1/(sqrt(3)) find the value of xdot

    Text Solution

    |

  20. If sin(cos^(-1)(5/13)+sin^(-1)x)=1 find the value of xdot

    Text Solution

    |