Home
Class 12
MATHS
sin[3sin^(-1)((1)/(5))] is equal to...

`sin[3sin^(-1)((1)/(5))]` is equal to

A

`71/125`

B

`74/125`

C

`3/5`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
`sin[3 sin^(-1)(1/5)]`
`=sin[sin^(-1){3(1/5)-4(1/5)^(3)}]`
`=3/5-4/125=71/125`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 11

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS )|50 Videos

  • PRACTICE SET 13

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER II OBJECTIVE TYPE|50 Videos

Similar Questions

Explore conceptually related problems

sin [(pi)/(3) - sin^(-1) (-(1)/(2))] is equal to :

sin((pi)/(3)-sin^(-1)(-(1)/(2))) is equal to (A)

sin^(-1)((12)/(13))-sin^(-1)((3)/(5)) is equal to

sin^(-1)(cos((5pi)/4)) is equal to

sin(cos^(-1)(3/5)) is equal to

The valueof 2sin^(-1).(4)/(5)+2sin^(-1).(5)/(13)+2sin^(-1).(16)/(65) is equal to

What is sin [sin^(-1)((3)/(5))+sin^(-1)((4)/(5))] equal to ?

"sin"^(-1)(8)/(17)+"sin"^(-1)(3)/(5) is equal to

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 12-Paper 2 (Mathematics)
  1. The area under the curve y+sqrt(3) sin x=sin 2x between the ordinates ...

    Text Solution

    |

  2. int(1-cosx)cosec^(2)x dx is equal to

    Text Solution

    |

  3. The system of equations x+y+z=5, x+2y+lamdaz=mu, x+2y+3z=9 has (i)...

    Text Solution

    |

  4. Find the general solution of the differential equations sec^2xtany dx...

    Text Solution

    |

  5. sin[3sin^(-1)((1)/(5))] is equal to

    Text Solution

    |

  6. If f:RtoR is defined by f(x)=|x|, then

    Text Solution

    |

  7. The equations of the circle which pass through the origin and make int...

    Text Solution

    |

  8. A circle with centre at (2, 4) is such that the line x+y+2= 0 cuts a ...

    Text Solution

    |

  9. The equation of the parabola whose focus is (3,-4) and direction 6x-7y...

    Text Solution

    |

  10. The equation (x^(2))/(2-lamda)-(y^(2))/(lamda-5)-1=0, represent and el...

    Text Solution

    |

  11. If x^my^n = (x + y)^(m+n), then (dy/dx)(x=1, y=2) is equal to

    Text Solution

    |

  12. If f'(x)=sin(log x)and y=f((2x+3)/(3-2x)), then dy/dx equals

    Text Solution

    |

  13. If the mean and the variance of a binomial variable X are 2 and 1 resp...

    Text Solution

    |

  14. Twelve tickets are numbered from 1 to 12. One ticket is drawn at rand...

    Text Solution

    |

  15. The area enclosed between the curves y = x^(3) and y = sqrt(x) is

    Text Solution

    |

  16. Write the angle between the line (x-1)/2=(y-2)/1=(z+3)/-2 and the plan...

    Text Solution

    |

  17. The number of distinct values of lamda, for which the vectors -lamda^(...

    Text Solution

    |

  18. The solution of the differential equation (dy)/(dx)=(x-y+3)/(2x(x-y)+5...

    Text Solution

    |

  19. The general solution of equation 3 tan(theta - 15^o) = tan(theta+15^o)...

    Text Solution

    |

  20. The mean and standard deviation of a binomial variate X are 4 and 3 re...

    Text Solution

    |