Home
Class 11
MATHS
If tanbeta=(2sinalphasingamma)/sin(alpha...

If `tanbeta=(2sinalphasingamma)/sin(alpha+gamma)`, then `cotalpha,cotbeta,cotgamma` are in

A

G.P.

B

H.P.

C

A.G.P

D

A.P.

Text Solution

Verified by Experts

The correct Answer is:
D
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 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 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.

If tanbeta=(tanalpha+tangamma)/(1+tanalphatangamma)dot prove that sin2beta=(sin2alpha+sin2gamma)/(1+sin2alphasin2gamma) .

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

The minimum value of the expression sin alpha + sin beta+ sin gamma , where alpha,beta,gamma are real numbers satisfying alpha+beta+gamma=pi is

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

If sin alpha + sin beta + sin gamma =3, then the value of (cos alpha + cos beta+ cos gamma) is-

Let alpha,betaa n dgamma be some angles in the first quadrant satisfying tan(alpha+beta)=(15)/8a n dcos e cgamma=(17)/8, then which of the following hold(s) good? (a) alpha+beta+gamma=pi (b) cotalpha+cotbeta+cotgamma=cotalphacotbetacotgamma (c) tanalpha+tanbeta+tangamma=tanalphatanbetatangamma (d) tanalphatanbeta+tanbetatangamma+tangammatanalpha=1

If cos alpha+cos beta+cos gamma=0=sin alpha+sin beta+sin gamma , then (sin3alpha+sin3beta+sin3gamma)/(sin(alpha+beta+gamma)) is equal to

If (1+sin alpha)(1+sinbeta)(1+singamma)=(1-sinalpha)(1-sinbeta)(1-singamma) , show that each side is equal to pm cotalpha cotbeta cotgamma .

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If sintheta and costheta are the roots of the equation ax^2-bx+c=0, th...

    Text Solution

    |

  2. (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=

    Text Solution

    |

  3. If tanbeta=(2sinalphasingamma)/sin(alpha+gamma), then cotalpha,cotbeta...

    Text Solution

    |

  4. If(1+tan1^@)(1+tan2^@)....(1+tan45^@)=2^n, then the value of n is

    Text Solution

    |

  5. If alpha+beta =(pi/2) and beta+gamma=alpha, then the tanalpha equals:

    Text Solution

    |

  6. If sec(theta+alpha)+sec(theta-alpha)=2/costheta. then cos^2theta is eq...

    Text Solution

    |

  7. If tanA=(1-cosB)/sinB, then

    Text Solution

    |

  8. If m and M be the minimum and maximum value of 10 cos^2x-6sinxcosx+2si...

    Text Solution

    |

  9. 3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x+cos^6x) is equal to

    Text Solution

    |

  10. If tanx=(b/a), then acos2x+bsin2x is equal to

    Text Solution

    |

  11. tan9^@-tan27^@-tan63^@+tan81^@ is equal to

    Text Solution

    |

  12. (1+sintheta-costheta)/(1+sintheta+costheta)=

    Text Solution

    |

  13. The number of ordered pairs (alpha,beta), where alpha,betain(-pi,pi) s...

    Text Solution

    |

  14. The number of solutions of the equation x/100=sinx is

    Text Solution

    |

  15. If mtan(theta-30^@)=ntan(theta+120^@), then cos2theta is equal to

    Text Solution

    |

  16. The equation cos2x+asinx=2a-7 possessses a solution if

    Text Solution

    |

  17. (sin5theta+sin2theta-sintheta)/(cos5theta+2cos3theta+2cos^2theta+costh...

    Text Solution

    |

  18. If 4nalpha=pi, thencotalpha cot2alpha cot3alpha.... cot(2n-1)alpha is ...

    Text Solution

    |

  19. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

    Text Solution

    |

  20. If sinx+sin^2x=1n then the value of cos^12x+3cos^10x+3cos^8x+cos^6x-1 ...

    Text Solution

    |