Home
Class 11
MATHS
If 2 sin alpha cos beta sin gamma =sin b...

If `2 sin alpha cos beta sin gamma =sin beta sin (alpha +gamma)` then prove that `tan alpha,tan beta,tan gamma ` are in H.P.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

If alpha+ beta=(pi)/(2) and beta+ gamma= alpha then prove that tan alpha=tan beta+2 tan gamma .

If cos beta cos (gamma- alpha)= cos (alpha- beta+ gamma) , prove that cot alpha+ cot y= 2cot beta

Find the value of (sin (alpha + beta))/(sin (alpha - beta)), "given that" tan alpha = 2 tan beta.

If sec alpha = sec beta sec gamma+ tan beta tan gamma , then show that sec beta= sec gamma sec alpha+- tan gamma tan alpha .

If alpha, beta and gamma are angle such that tan alpha + tan beta+tan gamma= tan alpha tan beta tan gammaand x=cos alpha + I sin alpha, y=cos beta+ I sin beta and z= cos gamma+ I sin gamma, then the value of xyz is -

If cos alpha+ cos beta+ cos gamma + cos alpha cos beta cos gamma=0 , show that sin alpha (1+ cos beta cos gamma)=+- sin beta sin gamma .

sin alpha + sin beta = a "and" cos alpha + cos beta = b (tan alpha + tan beta)/(1-tan alpha tan beta)=

Evaluate {:|( cos alpha cos beta , cos alpha sin beta , -sin alpha ),( -sin beta , cos beta, 0),( sin alpha cos beta, sin alpha sin beta, cos alpha ) |:} =0

If cosalpha+cosbeta+cosgamma=0 a n d a l so sinalpha+sinbeta+singamma=0, then prove that cos2alpha+cos2beta+cos2gamma =sin2alpha+sin2beta+sin2gamma=0

"Prove that : " sin alpha + sin beta + sin gamma - sin ( alpha + beta + gamma) =4 "sin" (alpha+beta)/2 "sin"(beta + gamma)/2 "sin"(gamma+alpha)/2

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. if A+B=45^@ find the value of (1+tan A)(1+ tan B)

    Text Solution

    |

  2. If 0lt betalt alpha lt(pi/4),cos(alpha+beta)=3/5 and cos(alpha-beta)=4...

    Text Solution

    |

  3. If 2 sin alpha cos beta sin gamma =sin beta sin (alpha +gamma) then pr...

    Text Solution

    |

  4. if cos(x-y)cosx and cos(x+y) are in H.P then evaluate abs (cos x.secy/...

    Text Solution

    |

  5. Prove that tan A+2 tn A+4 tan A+8cot 8A=cot A

    Text Solution

    |

  6. Evaluate : cos12^@cos24^@cos36^@cos48^@cos72^@cos84^@

    Text Solution

    |

  7. If alpha,beta,gamma are in A.P. show that cot beta=(sin alpha-sin gamm...

    Text Solution

    |

  8. prove sin alpha+sin(alpha+(2pi)/3)+sin (alpha+(4pi)/3)=0

    Text Solution

    |

  9. Prove that (cos 7x+cos 5x)/(sin7x-sin 5x)=cotx

    Text Solution

    |

  10. if tan( (pi)/9),x, tan ((5pi)/18) are in A.P. and tan(pi/9), y,tan ((7...

    Text Solution

    |

  11. find the value of k which satisfy tan theta +tan(theta+pi/3)+tan (thet...

    Text Solution

    |

  12. sin^3x.sin3x=underset(mrarr0)(oversetnsumCmcosmx is an identity in x,w...

    Text Solution

    |

  13. Find sin( (pi)/n)+sin ((3pi)/n)+sin ((5pi)/n)+……..to n terms

    Text Solution

    |

  14. Find theta if sin theta -cos theta lt0

    Text Solution

    |

  15. Find A/2 if 2sin (A/2)=sqrt(1+sin A)+sqrt(1-sin A)

    Text Solution

    |

  16. Find the range of A/2 if it satisfies 2 cos( A/2)=sqrt(1+sin A)-sqrt(1...

    Text Solution

    |

  17. Find the maximum and minimum of 3sin 2x+4 cos 2x+3

    Text Solution

    |

  18. Prove that -4le5cos theta +3 cos (theta+pi/3)+3le10 for all values of...

    Text Solution

    |

  19. Find the maximum value of1+sin(pi/4+theta)+2cos(pi/4-theta) for all re...

    Text Solution

    |

  20. Find cos(alpha+beta) if tan(alpha/2) and tan (beta/2) are roots of the...

    Text Solution

    |