Home
Class 11
MATHS
For DeltaABC prove that, (a-b)^(2)cos^...

For `DeltaABC` prove that,
`(a-b)^(2)cos^(2)""(C)/(2)+(a+b)^(2)sin^(2)""(C)/(2)=c^(2)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|60 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|33 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE : 3|10 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

For DeltaABC , prove that, (a+b)/(c)=(cos((A-B)/(2)))/(sin""(C)/(2)) .

For DeltaABC , prove that, (cosA)/(a)+(cosB)/(b)+(cosC)/(c)=(a^(2)+b^(2)+c^(2))/(2abc) .

For any triangle ABC, prove that : ((b^(2)-c^(2))/(a^(2)))sin2A+((c^(2)-a^(2))/(b^(2)))sin2B+((a^(2)-b^(2))/(c^(2)))sin2C=0

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

For any triangle ABC, prove that : a(cosC-cosB)=2(b-c)cos^(2)""(A)/(2)

If a,b,c are in HP, then prove that sin ^(2) ""(A)/(2), sin ^(2) ""(B)/(2), sin ^(2) ""(C )/(2) are also in HP.

For any triangle ABC, prove that : (b+c)cos((B+C)/(2))=acos((B-C)/(2))

For any triangle ABC, prove that : (cosA)/(a)+(cosB)/(b)+(cosC)/(c)=(a^(2)+b^(2)+c^(2))/(2abc)

Prove that, 2(asin^(2)((C)/(2))+csin^(2)((A)/(2)))=c+a-b

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

KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -PRACTICE WORK
  1. In DeltaABC, if A=45^(@),B=60^(@)andC=75^(@) then find the ratio of it...

    Text Solution

    |

  2. The angles of DeltaABC are in A.P. if b:c=sqrt(3):sqrt(2) then find an...

    Text Solution

    |

  3. For DeltaABC prove that, (a-b)^(2)cos^(2)""(C)/(2)+(a+b)^(2)sin^(2)"...

    Text Solution

    |

  4. In DeltaABC,(sinA)/(sinC)=(sin(A-B))/(sin(B-C)) then prove that a^(2),...

    Text Solution

    |

  5. Prove that, 2(asin^(2)((C)/(2))+csin^(2)((A)/(2)))=c+a-b

    Text Solution

    |

  6. Prove that, tan((A)/(2)+B)=(c+b)/(c-b)tan((A)/(2))

    Text Solution

    |

  7. Prove that, a^(3)sin(B-C)+b^(3)sin(C-A)+c^(3)sin(A-B)=0

    Text Solution

    |

  8. Prove that, cot""(pi)/(24)=sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)

    Text Solution

    |

  9. Prove that, tan""(pi)/(16)=sqrt(4+2sqrt(2))-(sqrt(2)+1)

    Text Solution

    |

  10. Prove that, 4sin27^(@)=sqrt(5+sqrt(5))+sqrt(3-sqrt(5))

    Text Solution

    |

  11. If alpha and beta are roots of the equation acostheta+bsintheta=c then...

    Text Solution

    |

  12. If alpha and beta are roots of the equation acostheta+bsintheta=c then...

    Text Solution

    |

  13. If costheta=a then show that cos^(2)((theta)/(2)) and sin^(2)((theta)/...

    Text Solution

    |

  14. Prove that, (2costheta+1)(2costheta-1) (2cos2theta-1)(2cos4theta-1)=...

    Text Solution

    |

  15. If DeltaABC is a right angle triangle then prove that cos^(2)A+cos^(2)...

    Text Solution

    |

  16. If cosalpha=(3)/(5),cosbeta=(5)/(13),0ltalpha,betalt(pi)/(2) then find...

    Text Solution

    |

  17. Prove, sin6^(@).sin(42^(@)).sin(66^(@)).sin(78^(@))=(1)/(16) .

    Text Solution

    |

  18. Prove that 2tanbeta+cotbeta=tanalphaimplies2tan(alpha-beta)=cotbeta.

    Text Solution

    |

  19. If theta+beta=alphaandsintheta=ksinbeta then prove that tantheta=(ksin...

    Text Solution

    |

  20. If asintheta=bsin(theta+(2pi)/(3))=csin(theta+(4pi)/(3)) then prove th...

    Text Solution

    |