Home
Class 12
MATHS
If "cos"^(-1)(x/a) ="cos"^-1(y/b) = thet...

If `"cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)/(ab) "cos" theta +y^2/b^2 ="sin"^2 theta.`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

If "sin"^(-1)(x/a) + "sin"^(-1) (y/b)=alpha "prove that" x^2/a^2+(2xy)/(ab) "cos" alpha+y^2/b^2 ="sin"^2 alpha

If "cos"^(-1)(x/y) +"cos"^-1(y/3)= theta, "prove that" 9x^2- 12xy "cos" theta +4y^2 =36 "sin"^2 theta .

cos^(-1)x+cos^(-1)y+cos^(-1)z=pi ,then prove that, x^2+y^2+z^2+xyz=1

If x+1/x=2cos theta,"Show that"x^n+1/x^n=2cos n theta

If cos^-1x+cos^-1y+cos^-1z=pi , prove that x^2+y^2+z^2+2xyz=1 .

Find dy/dx, x=a cos'theta', y=a sin theta.

Find (dy)/(dx) , when x=cos^(2)theta and y=sin^(2)theta

If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If x=(sin^(3)t)/(sqrt(cos2t)) and y=(cos^(3)t)/(sqrt(cos2t)), then fin...

    Text Solution

    |

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

    Text Solution

    |

  3. If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...

    Text Solution

    |

  4. Minimize:Z=20x1+10x2 "Subject to": x1+2x2 le 40 3x1 -x2 ge 30 4x1+3x2 ...

    Text Solution

    |

  5. If y=x sin^-1x+xcos^-1x, then what is dy/dx?

    Text Solution

    |

  6. Give an example of a relation which is symmetric and anti-symmetric.

    Text Solution

    |

  7. What is the value of int0^1sin^2tdt+int0^1cos^2tdt-int0^1dr?

    Text Solution

    |

  8. What is the principal value of sin^(-1)(sin((2pi)/3))?

    Text Solution

    |

  9. What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...

    Text Solution

    |

  10. What is the value of hata*hatb+hatb*hatc+hatc*hata if hata+hatb+hatc=v...

    Text Solution

    |

  11. The distance between the parallel planes 2x - 3y + 6z +1 = 0 and 4x - ...

    Text Solution

    |

  12. If is a 3xx3 matrix and absA=7, then which matrix is represented by Ax...

    Text Solution

    |

  13. What is the value of intsin^2xd(sinx)?

    Text Solution

    |

  14. Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.

    Text Solution

    |

  15. Write whether the equation "tan"^(-1) ("cot"x)=2x has exactly two real...

    Text Solution

    |

  16. Find the feasible solution region of the following: 3x+yge3,x+yge1,xge...

    Text Solution

    |

  17. Prove statement tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0

    Text Solution

    |

  18. Prove that for any f:X rarr Y , f o idx = f =idY of.

    Text Solution

    |

  19. If A=[(2,5),(1,3)], then find A^(-1)

    Text Solution

    |

  20. Evaluate abs[[1,a,bc],[1,b,ca],[1,c,ab]]-abs[[1,a,b^2],[1,b,b^2],[1,c,...

    Text Solution

    |