Home
Class 12
MATHS
Show that sin^(-1)sqrt(frac[x-q][p-q])=c...

Show that `sin^(-1)sqrt(frac[x-q][p-q])=cos^(-1)sqrt(frac[p-x][p-q])=cot^(-1)sqrt(frac[p-x][x-q])`

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2017

    MODERN PUBLICATION|Exercise EXERCISE|46 Videos

  • SAMPLE PAPER 2019

    MODERN PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1) sqrt((p-x)/(p-q))="cot"^(-1) sqrt((p-x)/(x-q))

Show that sin^(-1)frac[12][13]+cos^(-1)frac[4][5]+tan^(-1)frac[63][16]=pi

Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a+b])tanfrac[x][2])

Show that "tan"^(-1)sqrt(x)=1/(2)"cos"^(-1)((1-x)/(1+x)),x in[0,1] .

Prove that sin^(-1)(frac[sqrt(1+x)+sqrt(1-x)][2])=frac[pi][4]+frac[1][2]cos^(-1)x,0ltxlt1

Find sin[frac[pi][2]-sin^(-1)(-frac[1][2])]

Integrate int(frac[x-1][2x+1])dx

MODERN PUBLICATION-SAMPLE PAPER 2018-EXERCISE
  1. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

    Text Solution

    |

  2. Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).

    Text Solution

    |

  3. Show that sin^(-1)sqrt(frac[x-q][p-q])=cos^(-1)sqrt(frac[p-x][p-q])=co...

    Text Solution

    |

  4. Sole the following LPP graphically Minimize Z=4x+3y subject to 2x+...

    Text Solution

    |

  5. A bag A contains 2 white and 3 red balls and another bag B contains 4 ...

    Text Solution

    |

  6. If P(A) = 0.6, P(B/A) = 0.5, find P(A uu B) when A and B are independe...

    Text Solution

    |

  7. Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...

    Text Solution

    |

  8. Differentiate y=(siny)^(sin2x)

    Text Solution

    |

  9. Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).

    Text Solution

    |

  10. Evaluate int (dx)/((x+1)sqrt(1-x^2))

    Text Solution

    |

  11. Show that int0^1(Inx)/sqrt(1-x^2)dx=pi/2In1/2

    Text Solution

    |

  12. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

    Text Solution

    |

  13. From the differential equation whose general solution is y=asint+be^t.

    Text Solution

    |

  14. Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...

    Text Solution

    |

  15. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

    Text Solution

    |

  16. Prove that for any three vectors vec(a), vec(b) and vec(c), [vec(a) + ...

    Text Solution

    |

  17. If the sum of two unit vectors is a unit vector, show that the magnitu...

    Text Solution

    |

  18. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  19. Two vectors vec A and vec B are inclined to each other at an angle the...

    Text Solution

    |

  20. Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...

    Text Solution

    |