Home
Class 11
MATHS
If sin(B+C-A),sin(C+A-B),sin(A+B-C), are...

If `sin(B+C-A),sin(C+A-B),sin(A+B-C),` are `AdotPdot,t h e ncot A ,cot B ,cot C a r ein` (a) `G P` (b) `H P` (c) `A P` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    RD SHARMA ENGLISH|Exercise All Questions|493 Videos
  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos

Similar Questions

Explore conceptually related problems

If cos(A+B)sin(C+D)=cos(A-B)sin(C-D) , prove that cot A cot B cot C=cotD .

If cos2B=(cos(A+C))/("cos"(A-C)) , then tanA ,t a n B ,tanC are in (a)A.P. (b) G.P. (c) H.P. (d) none of these

In triangle ABC, if cosA+2cosB+cosC=2,t h e na ,b ,c are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If cos A+cos B+2cos C=2 then the sides of the A B C are in (a)A.P. (b) G.P. (c) H.P. (d) none

If A ,\ B ,\ C are in A.P. then (sin A-sin C)/(cos C-cos A)= adot\ t a n B b. cot B c. t a n2B d. none of these

If in a triangle A B C ,bcos^2A/2+"a c o s"^2B/2=3/2c , then a ,c ,b are: in A.P. b. in G.P. c. in H.P. d. none of these

If in a A B C ,(sinA)/(sinC)=(sin(A-B))/(sin(B-C) , prove that a^2,b^2,c^2 are in AdotPdot

If tanbeta=2sinalphasingammacos e c(alpha+gamma), then cotalpha,cotbeta,cotgamma are in (a)A.P. (b) G.P. (c) H.P. (d) none of these

If (sinA)/(sinC)=(sin(A-B))/(sin(B-C)) , prove that a^(2), b^(2), c^(2) are in A.P.

If sin^2(A/2), sin^2(B/2), and sin^2(C/2) are in H.P. , then prove that the sides of triangle are in H.P.

RD SHARMA ENGLISH-TRANSFORMATION FORMULAE-All Questions
  1. If t a nalpha=x/(x+1) and t a nbeta=1/(2x+1) , then alpha+beta is equa...

    Text Solution

    |

  2. If msintheta=n sin(theta+2alpha), prove that tan(theta+alpha)cotalpha...

    Text Solution

    |

  3. If sin(B+C-A),sin(C+A-B),sin(A+B-C), are AdotPdot,t h e ncot A ,cot B ...

    Text Solution

    |

  4. If cos(alpha+beta)*sin(gamma+delta)=cos(alpha-beta)*sin(gamma-delta), ...

    Text Solution

    |

  5. If xcostheta=ycos(theta+(2pi)/3)=z cos(theta+(4pi)/3) , prove that x y...

    Text Solution

    |

  6. If cos e cA+secA=cos e c B+s e cB , prove that: "tanAtanB"=cot(A+B)/2

    Text Solution

    |

  7. If ("tan"(theta+alpha))/a=""("tan"(theta+beta))/b=""("tan"(theta+gamma...

    Text Solution

    |

  8. If cos A+cosB=1/2 and sin A+ sinB=1/4 , prove that: tan((A+B)/2)=1/2

    Text Solution

    |

  9. If asintheta="bsin"(theta+(2pi)/3)="csin"(theta+(4pi)/3) , prove that ...

    Text Solution

    |

  10. If sin(y+z-x),sin(z+x-y),"sin"(x+y-z) are in A.P., then t a n x ,tany ...

    Text Solution

    |

  11. Prove that: tan20^0tan40^0tan80^0=tan60^0

    Text Solution

    |

  12. Prove that :"sin"Asin(60^0-A)sin(60^0+A)=1/4sin3A

    Text Solution

    |

  13. Show that: t a n(60^0+theta)t a n(60^0-theta)=(2cos2theta+1)/(2cos2the...

    Text Solution

    |

  14. If alpha+beta=90^0 , find the maximum and minimum values of sinalphas...

    Text Solution

    |

  15. Prove that: cos20^0cos40^0cos60^0cos80^0=1/(16)

    Text Solution

    |

  16. Prove that: sin20^0sin40^0sin60^0sin80^0=3/(16)

    Text Solution

    |

  17. Prove that: 4"cos"12^0cos48^0cos72^0=cos36^0

    Text Solution

    |

  18. Prove that: tantheta.tan(60^0-theta).tan(60^0+theta)=tan3thetadot.'

    Text Solution

    |

  19. Prove that: sin(B-C)cos(A-D) + sin(C-A) cos (B-D) + sin(A-B) cos(C-...

    Text Solution

    |

  20. If sinx+siny=sqrt(3)(cos y-cos x), then sin3x+sin3y= (a) ...

    Text Solution

    |