Home
Class 11
MATHS
If ("tan"(theta+alpha))/a=""("tan"(theta...

If `("tan"(theta+alpha))/a=""("tan"(theta+beta))/b=""("tan"(theta+gamma))/c` then `(a+b)/(a-b)sin^2(alpha-beta)+(b+c)/(b-c)sin^2(beta-gamma)+(c+a)/(c-a)sin^2(gamma-alpha)=0`

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 ("tan"(theta+alpha))/a=""("tan"(theta+beta))/b=""("tan"(theta+gamma))/c then prove (a+b)/(a-b)sin^2(alpha-beta)+(b+c)/(b-c)sin^2(beta-gamma)+(c+a)/(c-a)sin^2(gamma-alpha)=0

Let (sin(theta-alpha))/("sin"(theta-beta))=a/b a n d(cos(theta-alpha))/("cos"(theta-beta))=c /d t h e n(a c+b d)/(a d+b c)= (a) cos(alpha-beta) (b) sin(alpha-beta) sin(alpha+beta) (d) none of these

Let (sin(theta-alpha))/("sin"(theta-beta))=a/b a n d(cos(theta-alpha))/("cos"(theta-beta))=c/d t h e n(a c+b d)/(a d+b c)=

If (tan(alpha+beta-gamma))/("tan"(alpha-beta+gamma))=(tangamma)/(tanbeta),(beta!=gamma) then sin2alpha+sin2beta+sin2gamma= (a) 0 (b) 1 (c) 2 (d) 1/2

If sin(theta+alpha)=a,cos^(2)(theta+beta)=b, then sin(alpha-beta)=

Prove that: sinalpha+sinbeta+singamma-sin(alpha+beta+gamma)=4sin((alpha+beta)/2)sin((beta+gamma)/2)sin((gamma+alpha)/2)dot

If cos(theta-alpha) = a and cos(theta-beta) = b then the value of sin^2(alpha-beta) + 2ab cos(alpha-beta)

If tan beta=cos theta tan alpha , then prove that tan^(2)""(theta)/(2)=(sin(alpha-beta))/(sin(alpha+beta)) .

If A = |(sin (theta + alpha),cos (theta + alpha),1),(sin (theta + beta),cos (theta + beta),1),(sin (theta + gamma),cos (theta + gamma),1)| , then

cos alpha sin (beta-gamma) + cos beta sin (gamma-alpha) + cos gamma sin (alpha-beta)=

RD SHARMA ENGLISH-TRANSFORMATION FORMULAE-All Questions
  1. If xcostheta=ycos(theta+(2pi)/3)=z cos(theta+(4pi)/3) , prove that x y...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Prove that: (cos(A+B+C)+cos(-A+B+C)+cos(A-B+C)+"cos"(A+B-C))/(sin(A+B...

    Text Solution

    |

  18. Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={...

    Text Solution

    |

  19. If sintheta=n"sin"(theta+2alpha) , prove that tan(theta+alpha)=(1+n)/...

    Text Solution

    |

  20. Prove that: (sin(A-C)+2sinA+sin(A+C)) / ("sin"("B"-"C")+2sinB+"sin"(B+...

    Text Solution

    |