Home
Class 12
MATHS
The value of alpha such that sin^(-1)2/(...

The value of `alpha` such that `sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),sin^(-1)alpha` are the angles of a triangle is `(-1)/(sqrt(2))` (b) `1/2` (c) `1/(sqrt(3))` (d) `1/(sqrt(2))`

A

` (-1)/sqrt2`

B

`1/2`

C

`1/sqrt3`

D

`1/sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|7 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos

Similar Questions

Explore conceptually related problems

The value of alpha such that sin^(-1)(2)/(sqrt(5)),sin^(-1)(3)/(sqrt(10)),sin^(-1)alpha are the angles of a triangle is (-1)/(sqrt(2))quad ( b ) (1)/(2)(c)(1)/(sqrt(3))(d)(1)/(sqrt(2))

The value of alpha so that sin^(-1)((2)/(sqrt(5))) , sin^(-1)((3)/(sqrt(10))) and sin^(-1)alpha are the angles of a Delta is

sin^(-1)(1/sqrt5)+cos^(-1)(3/sqrt(10))

sin^(-1)((1)/(sqrt(2)))-3sin^(-1)((sqrt(3))/(2))=

sin^(-1)(-(sqrt(3))/(2))+cos^(-1)((sqrt(3))/(2))

sin^(-1)((sqrt(3)+1)/(2sqrt(2)))=

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

If cot^(-1)(sqrt(cos1))-tan^(-1)(sqrt(cos1))=alpha then the value of sin alpha is -

ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. If asin^(-1)x-bcos^(-1)x=c , then asin^(-1)x+bcos^(-1)x is equal to 0 ...

    Text Solution

    |

  2. The number of integer x satisfying sin^(-1)|x-2|+cos^(-1)(1-|3-x|)=pi/...

    Text Solution

    |

  3. The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),...

    Text Solution

    |

  4. L e t|tan^(-1)xtan^(-1)2xtan^(-1)3xtan^(-1)3xtan^(-1)xtan^(-1)2xtan^(-...

    Text Solution

    |

  5. If alpha is the only real root of the equation x^3 + bx^2 + cx + 1 = ...

    Text Solution

    |

  6. Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , ...

    Text Solution

    |

  7. Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1...

    Text Solution

    |

  8. Let f(x)= sin^(-1)((2x)/(1+x^2))AAx in R. The function f(x) is continu...

    Text Solution

    |

  9. Let f(x) = tan^(-1) (x^2-18x + a) gt 0 x in R. Then the value of a lie...

    Text Solution

    |

  10. Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the max...

    Text Solution

    |

  11. If tan^(-1) . b/(c+a) + tan^(-1) . (c)/(a + b) = pi/4where a, b, c , a...

    Text Solution

    |

  12. Solutions of sin^(-1) (sinx) = sinx are if x in (0, 2pi)

    Text Solution

    |

  13. The equation e^(sin^(-1)x)/pi=y/(log y) has

    Text Solution

    |

  14. Let f(x) =1+2sin(e^x/(e^x+1)) x ge 0 then f^(-1)(x) is equal to (assu...

    Text Solution

    |

  15. cos^(-1) ( cos( 2 cot^(-1)(sqrt2 - 1)))is equal to

    Text Solution

    |

  16. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^2+2x^2+3)) is ...

    Text Solution

    |

  17. If tan^(-1) .(sqrt(1+x^(2))-1)/x = 4^(@) , then

    Text Solution

    |

  18. If tan^(-1)(sin^2theta-2sintheta+3)+cot^(-1)(5^sec^(2y)+1)=pi/2, then ...

    Text Solution

    |

  19. The number of solution of the equation |tan^(-1)|x||=sqrt((x^(2)+1)^(2...

    Text Solution

    |

  20. For any real number x ge 1, the expression sec^(2) ( tan^(-1)x) - ...

    Text Solution

    |