Home
Class 11
MATHS
cos 2 alpha =(3 cos 2 beta -1)/( 3-cos 2...

`cos 2 alpha =(3 cos 2 beta -1)/( 3-cos 2 beta),` then `tan alpha=`

A

`sqrt2 tan beta`

B

`(tan beta)/( sqrt2)`

C

`(tan ^(2) beta)/( sqrt2)`

D

`tan beta`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|60 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta be acute angles and cos2 alpha=(3cos2 beta-1)/(3-cos2 beta), then tan alpha is :

If alpha and beta are acute angles satisfying cos2 alpha=(3cos2 beta-1)/(3-cos2 beta), then tan alpha=sqrt(2)tan beta (b) (1)/(sqrt(2))tan beta(c)sqrt(2)cot beta(d)(1)/(sqrt(2))cot beta

alpha and beta are acute angles and cos2 alpha=(3cos2 beta-1)/(3-cos2 beta) then tan alpha cot beta=

If alpha, beta are acute angles and cos 2alpha = (3cos2beta -1)/(3-cos2 beta) prove that tan alpha tan beta= sqrt2 :1 .

If alpha and beta are acute angles and cos2 alpha=(3cos2 beta-1)/(3-cos2 beta). Prove that :tan alpha=sqrt(2)tan beta

If cos2alpha=(3cos2beta-1)/(3-cos2beta) , then tan alpha is equal to

If cos alpha=(2cos beta-1)/(2-cos beta) then tan((alpha)/(2))*cot((beta)/(2)) has the equal to [where alpha,beta in(0,pi)]

If tan (alpha-beta)=(sin 2beta)/(3-cos 2beta) , then

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -COMPETITIVE THINKING
  1. (sec 8 A-1)/( sec 4A-1)=

    Text Solution

    |

  2. If 2 tan A=3 tan B, then (sin 2B)/(5-cos 2B) is equal to

    Text Solution

    |

  3. cos 2 alpha =(3 cos 2 beta -1)/( 3-cos 2 beta), then tan alpha=

    Text Solution

    |

  4. If cos theta = 1/2 (a+(1)/(a)), then the value of cos 3 theta is

    Text Solution

    |

  5. cos ^(3) 110 ^(@) + cos ^(3) 10^(@) + cos ^(3) 130^(@)=

    Text Solution

    |

  6. If sin 6theta =32 cos ^(2) theta sin theta -32 cos ^(3) theta sin thet...

    Text Solution

    |

  7. tan ((pi)/(4) + (theta)/(2)) + tan ((pi)/(4) -(theta)/(2)) is equal to

    Text Solution

    |

  8. If tan x = 3/4, pi lt x lt (3pi)/(2), then the value of cos ""x/2 is

    Text Solution

    |

  9. If 90^(@) lt A lt 180^(@) and sin A =4/5, then tan ""A/2 is equal to

    Text Solution

    |

  10. If theta is an acute angle and sin((theta)/(2))=sqrt((x-1)/(2x)) ,then...

    Text Solution

    |

  11. If tan(x/2)=cosec x - sin x then the value of tan^2(x/2) is

    Text Solution

    |

  12. If cos theta =(cos alpha - cos beta)/( 1- cos alpha cos beta), then on...

    Text Solution

    |

  13. If theta in ((pi)/(2), (3pi)/(2)), then the value of sqrt(4 cos ^(4) t...

    Text Solution

    |

  14. (m+2)sintheta+(2m-1)costheta=2m+1 then tan theta is

    Text Solution

    |

  15. Given that cos ((alpha -beta)/(2)) = 2 cos ((alpha+ beta)/(2)), then ...

    Text Solution

    |

  16. What is tan(7(1)/(2))^(@) equal to ?

    Text Solution

    |

  17. sqrt2+ sqrt3+sqrt4+sqrt6 is equal to

    Text Solution

    |

  18. If alpha=22^@30', then (1+cos alpha)(1+cos3alpha)(1+cos5alpha)(1+co...

    Text Solution

    |

  19. If tan A= (1- cos B)/(sin B), then tan 2A is equal to

    Text Solution

    |

  20. If cosectheta=(p+q)/(p-q),then cot(pi,//4+theta//2)=

    Text Solution

    |