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

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|5 Videos

Similar Questions

Explore conceptually related problems

tan(cos^-1(1/(5sqrt2)) - sin^-1(4/(sqrt17)) is

The value of expression tan^(- 1)((sqrt(2))/2)+sin^(- 1)((sqrt(5))/5)-cos^(- 1)((sqrt(10))/10)

The principal value of sin^(-1) [-(sqrt(3))/(2) ] is :

The value of cos^-1[cot(sin^-1(sqrt((2-sqrt3)/4))+cos^-1(sqrt12/4)+sec^-1sqrt2)

If y=(sqrt(1-sin4A)+1)/(sqrt(1+sin 4A)-1) , then y can be

The value of sin^-1((2sqrt2)/3) + sin^-1(1/3) is equal to

Find the principal value of sin^(-1)(-(sqrt(3))/(2))

tan^-1 (1/(sqrt3))-sin^-1 (1/2) is equal to :

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that (cos^3x - sin^3x)/(cosx - sinx) = (2 + sin2x)/2

    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: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

    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^4+2x^2+3)) is

    Text Solution

    |

  17. If tan^(-1)(sqrt(1+x^2-1))/x=4^0 then x=tan2^0 (b) x=tan4^0 x=tan1/4...

    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)x ( tan^(-1)x) - ...

    Text Solution

    |