Home
Class 12
MATHS
If "sin"^(-1)(1)/(3)+"sin"^(-1)(2)/(3)=s...

If `"sin"^(-1)(1)/(3)+"sin"^(-1)(2)/(3)=sin^(-1)x`, then the value of x is

A

0

B

`((sqrt(5)-4sqrt(2)))/9`

C

`((sqrt(5)+4sqrt(2)))/9`

D

`(pi)/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NTA MOCK TESTS|Exercise SINGLE CHOICE |30 Videos
  • JEE MOCK TEST 10

    NTA MOCK TESTS|Exercise MATH|25 Videos

Similar Questions

Explore conceptually related problems

If sin^(-1)((5)/(x))+sin^(-1)((12)/(x))=sin^(-1)((2)/(x))+cos^(-1)((2)/(x)) then the value of x is equal to

If quad sin^(-1)x_(1)+sin^(-1)x_(2)++sin^(-1)x_(n) =1 then find the value of (x_(1)^(1)+x_(3)^(3)+x_(5)^(5)+...(m+1)terms)/(x_(2)^(2)+x_(4)^(4)+x_(6)^(6)+... mterms )

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2 , then write the value of x+y+z .

Let x_i in [-1,1]" for "i=1,2,3,…24 , such that sin^(-1)x_1+sin^(-1)x_2+…+sin^(-1)x_24=12pi then the value of x_1+2x_2+3x_3+…+24x_24 is

If sin (sin^(-1)(3/5)+cos^(-1)x)=1 then find value of x.

If quad cos^(-1)x<1 and 1+sin(cos^(-1)x)+sin^(2)(cos^(-1)x)+sin^(3)(cos^(-1)x)+...oo=2 then the value of 12x^(2) is

If y=(1+sin x)(1+sin^(2)x)(1+sin^(4)x)(1+sin^(8)x)(1+sin^(16)x) ,then the value of (dy)/(dx) at x=0 is

Solve sin^(2)x+(1)/(4)sin^(2)3x=sin x sin^(2)3x

NTA MOCK TESTS-JEE MOCK TEST 1-MATHEMATICS
  1. What will be the remainder when 5^97 is divided by 52

    Text Solution

    |

  2. If y=4x-5 is a tangent to the curve y^(2)=px^(3) +q at (2, 3), then

    Text Solution

    |

  3. The number of discontinuities of the greatest integer function f(x)=[...

    Text Solution

    |

  4. The number of ways of dividing 15 men and 15 women into 15 couples eac...

    Text Solution

    |

  5. If the general solution of the differential equation y'=y/x+phi(x/y), ...

    Text Solution

    |

  6. If "sin"^(-1)(1)/(3)+"sin"^(-1)(2)/(3)=sin^(-1)x, then the value of x...

    Text Solution

    |

  7. If x!= y, then for every natural number n, x^n - y^n is divisible by

    Text Solution

    |

  8. The area bounded by the curves y=(x-1)^(2),y=(x+1)^(2) " and " y=(1)/(...

    Text Solution

    |

  9. Number of roots of cos^2x+(sqrt(3)+1)/2sinx-(sqrt(3))/4-1=0 which lie ...

    Text Solution

    |

  10. Suppose that the side lengths of a triangles are three consecutive int...

    Text Solution

    |

  11. Let x = 33^n . The index n is given a positive integral value at rando...

    Text Solution

    |

  12. If y=log(10)x+log(x)10+log(x)x+log(10)10 then what is ((dy)/(dx))(x=10...

    Text Solution

    |

  13. If |z|ge3, then determine the least value of |z+(1)/(z)|.

    Text Solution

    |

  14. If a, b, c, d, e, f are in А.Р., then e-c is equal to

    Text Solution

    |

  15. int(log(x+1)-logx)/(x(x+1))dx is equal to :

    Text Solution

    |

  16. If f(X) is a polynomial satisfying f(x)f(1/x)=f(x)+f(1/x) and f(2)gt1,...

    Text Solution

    |

  17. Let A=[[1,0,0], [0, 1, 1], [0,-2, 4]],I=[[1, 0, 0],[ 0 ,1 ,0],[ 0, 0, ...

    Text Solution

    |

  18. The least value of the quadratic polynomial, f(x) = (2p^(2) + 1) x^(2)...

    Text Solution

    |

  19. If A,B,C are in A.P and B=(pi)/4 then tanAtanBtanC=

    Text Solution

    |

  20. Find the distance of the point (-1, 1) from the line 12(x+6)=5(y-2).

    Text Solution

    |