Home
Class 12
MATHS
In triangle ABC , if C is a right prove ...

In triangle ABC , if C is a right prove that `(sin^(2)A)/(sin^(2)B)-(cos^(2)A)/(cos^(2)B)=(a^(4)-b^(4))/(a^(2)b^(2))`

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

In any triangle ABC, prove that, c sin((A-B)/2)= (a-b) cos( C/2)

In any /_\ABC ,prove that sin(B-C)/(sin(B+C))=(b^2-c^2)/(a^2)

in any triangle ABC prove that (b-c)/acos^2(A/2)+(c-a)/(b)cos^2(B/2)+(a-b)(/c)cos^2(C/2)=0

In triangle ABC if A=60^(@) , show that cos^(2)B+ cos^(2)C+ cos B cosC =(3)/(4) .

In any triangle ABC prove that sin2A+sin2B+sin2C=(abc)/(2R^3)

In triangle ABC if sin^2B+sin^2C=sin^2A then

prove that a^2sin2B+b^2sin2A=4Delta

In any triangle A B C , prove that: (1+cos(A-B)cos C)/(1+cos(A-C)cos B)=(a^2+b^2)/(a^2+c^2)

In any triangle ABC show that b^2sin2C+c^2sin 2B=abc/R

Prove that (sin A-sin B)/(cos A+ cos B) = "tan" (A-B)/2

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. If 2 sin A= sqrt(1+ sin 2A)- sqrt(1-sin2A) then find the limits of val...

    Text Solution

    |

  2. Prove that : tan 11^(@) 15' = sqrt(4+2sqrt(2))-sqrt(2)-1

    Text Solution

    |

  3. In triangle ABC , if C is a right prove that (sin^(2)A)/(sin^(2)B)-(co...

    Text Solution

    |

  4. Using the identity tan A =(sin 2A)/(1+cos2A) find the value of tan 15^...

    Text Solution

    |

  5. Prove that the lengths of the chord of a circle which subtends an angl...

    Text Solution

    |

  6. In any triangle ABC "if" (b+c)/(a)="cot"(A)/(2), prove that the triang...

    Text Solution

    |

  7. If the angles of a triangle be, A,B,C and cos theta (sin B+ sin C) = s...

    Text Solution

    |

  8. If the sides a,b,c of a triangle ABC are in A.P., prove that cosA "cot...

    Text Solution

    |

  9. If a is the smallest side of a triangle and a,b,c are in A.P. prove th...

    Text Solution

    |

  10. In a triangle ABC if b+c=3a then find the value of cot(B/2)cot(C/2)

    Text Solution

    |

  11. If the medium AD is perpendicular to the side AB in the triangle ABC, ...

    Text Solution

    |

  12. Show that the perimeter of any triangle is equal to 2 "cos" (A)/(2)...

    Text Solution

    |

  13. If sin theta+cos theta=a,tan theta+cot theta=b, show that (a^(2)-1)/(2...

    Text Solution

    |

  14. If the three side of a triangle be a, b, c and tan theta=(2 sqrt(ab))...

    Text Solution

    |

  15. In the triangle ABC, if cos 3 A + cos 3B+ cos 3C=1, show that the tria...

    Text Solution

    |

  16. Show that : tan 20^(@)+ tan 70^(@)= 2 "cosec" 40^(@)

    Text Solution

    |

  17. Show that : "sin" 2(pi)/(7)+ "sin"(4pi)/(7)-"sin" (6pi)/(7) =4 "sin"...

    Text Solution

    |

  18. Show that : tan 70^(@)=2 tan 40^(@)+ tan 20^(@)+ 4 tan 10^(@)

    Text Solution

    |

  19. The length of hypotenuse and one side of a right -angle triangle are ...

    Text Solution

    |

  20. If "cos" A=(3)/(4), show that 32 "sin" (A)/(2) "sin" (5A)/(2)=11

    Text Solution

    |