Home
Class 12
MATHS
If cot^-1 x + sin^-1 1/sqrt 5 = pi/4 the...

If `cot^-1 x + sin^-1 1/sqrt 5 = pi/4` then what is the value of x.

Text Solution

Verified by Experts

The correct Answer is:
`x=3`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 1

    MODERN PUBLICATION|Exercise PROBLEM|75 Videos

  • TEST PAPER 2

    MODERN PUBLICATION|Exercise PROBLEM|74 Videos

Similar Questions

Explore conceptually related problems

If cos^(-1) x + cos^(-1) y = (pi)/(4) , find the value of sin^(-1) x + sin^(-1) y .

If sin^(-1)frac[x][5]+cosec^(-1)frac[5][4]=frac[pi][2] , then what is the value of x?

If tan^(-1)(sqrt(3)) +cot^(-1)x =(pi)/(2) , then find the value of x.

Fill in the blank choosing correct answer from the brackets if "sin"^(-1) x/5 +"cosec"^-1 5/4=pi/2 , then the value of x=________ (2,3,4)

If "sin"^(-1)(1-x)_(1)-2"sin"^(-1)x=pi/(2) , then find the value of x.

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

Solve: "cos"^(-1) x +"sin"^(-1) x/2= pi/6

If sin^(-1)x+sin^(-1)y=(2pi)/3 then what is cos^(-1)x +cos^(-1)y

MODERN PUBLICATION-TEST PAPER 10-EXERCISE
  1. Let f(x) = 2 ln x and g(x) = ln x^2 .Do you think f = g ? Justify

    Text Solution

    |

  2. If cot^-1 x + sin^-1 1/sqrt 5 = pi/4 then what is the value of x.

    Text Solution

    |

  3. If A = ((2,4),(1,3)) and I = ((1,0),(0,1)) then find A - alpha I, alp...

    Text Solution

    |

  4. Evaluate [[-6,0,0],[3,-5,7],[2,8,11]

    Text Solution

    |

  5. Give example of a function whose is continuous but not differentiable ...

    Text Solution

    |

  6. Is there any tangent to the curve y=|2x-1| at (1/2,0)?

    Text Solution

    |

  7. Find the primitive of : (x+1)/x

    Text Solution

    |

  8. Is y = A/(x+A) a solution of the differential equation x dy/dx + y = y...

    Text Solution

    |

  9. Find the co-ordinates of the foot of the perpendicular drawn from orig...

    Text Solution

    |

  10. Write the projection of hat i - hat j in the direction of hat i - hat ...

    Text Solution

    |

  11. Let A = {1, 2, 3). Then, show that the number of relations containing ...

    Text Solution

    |

  12. A factory uses three different respurce for the manufacture of two dif...

    Text Solution

    |

  13. Verify that [AB]^T =B^TA^T where A=[[1,2,3],[6,7,8],[6,-3,4]] B=[[1,2,...

    Text Solution

    |

  14. Solve x + 2y = 3, 3x + y = 4 by matrix method.

    Text Solution

    |

  15. Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2

    Text Solution

    |

  16. If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]], show that for no values of...

    Text Solution

    |

  17. Prove that |(1, a, a^3),(1, b, b^3),(1, c, c^3)|= (a-b)(b-c)(c-a)(a+b+...

    Text Solution

    |

  18. If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)

    Text Solution

    |

  19. If tangents are drawn from the origin to the curve y = sin x, then sho...

    Text Solution

    |

  20. Integrate the following int(3x+4)/(xsqrt(2x^2-5))dx

    Text Solution

    |