Home
Class 12
MATHS
If cos^(-1)""x/a+cos^(-1)""y/b=theta, Pr...

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

A

`theta`

B

`sin^2theta`

C

`cos^2theta`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|36 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C)(OBJECTIVE TYPE QUESTIONS (MORE THAN ONE OPTIONS ARE CORRECT))|13 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|21 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

If cos^(-1)x/a+cos^(-1)y/b=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)cosalpha+(y^2)/(b^2)=sin^2alpha

If cos^(-1)(x/a)+cos^(-1)(y/b)=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)cosalpha+(y^2)/(b^2)=sin^2alpha

If cos^(-1)(x/a)+cos^(-1)(y/b)=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)cosalpha+(y^2)/(b^2)=sin^2alpha

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

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

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

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

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

If cos ^(-1)\ (x)/(a) + cos^(-1)\ (y)/(b) = theta , then (x^(2))/(a^(2)) +(y^(2))/(b^(2))=?

If cos^(-1)(x)/(2)+cos^(-1)(y)/(3)=theta then the maximum of 9x^(2)-12xy costheta + 4y^(2) is

AAKASH INSTITUTE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. If sin^(-1)(x-(x^2)/2+(x^3)/4-ddot)+cos^(-1)(x^2-(x^4)/2+(x^6)/4)=pi/2...

    Text Solution

    |

  2. if tan^(-1)(1/x)+cos^(-1)(2/sqrt5)=pi/4 then x equals

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. If x1=cos^(-1)(3/5)+cos^(-1)((2sqrt2)/3)and x2=sin^(-1)(3/5)+sin^(-1)(...

    Text Solution

    |

  5. If tan(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)2) then x is

    Text Solution

    |

  6. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  7. Express in terms of : sin^(-1)(2xsqrt(1-x^(2))) to sin^(-1)x for 1gexg...

    Text Solution

    |

  8. If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b)...

    Text Solution

    |

  9. y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),w h e ...

    Text Solution

    |

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

    Text Solution

    |

  11. tan^(-1)(1/2)+tan^(-1)(1/3) is equal to

    Text Solution

    |

  12. cos(tan^(-1)3/4)+cos(tan^(-1)x) is equal to

    Text Solution

    |

  13. If cot^(-1)x+tan^(-1)(1/2)=pi/4 then x is

    Text Solution

    |

  14. The value of cos^(-1)(-1)+sin^(-1)(1) is

    Text Solution

    |

  15. If sin^(- 1)(3/x)+sin^(- 1)(4/x)=pi/2 then x=

    Text Solution

    |

  16. The domain of the function f(x)=cos^(-1)((2-absx)/4) is

    Text Solution

    |

  17. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

    Text Solution

    |

  18. tan^(-1)x-tan^(-1)y=tan^(-1)((x-y)/(1+xy)) holds good for

    Text Solution

    |

  19. If sin^(-1)x+sin^(-1)(1-x)+cos^(-1)x=0, then x is

    Text Solution

    |

  20. sin^(-1)(sinx)=x if

    Text Solution

    |