Home
Class 11
MATHS
If alpha and beta are acute angles satis...

If `alpha` and `beta` are acute angles satisfying `cos2alpha=(3cos2beta-1)/(3-cos2beta),` then `tanalpha=` `sqrt(2)tanbeta` (b) `1/(sqrt(2))t a nbeta` (c) `sqrt(2)cotbeta` (d) `1/(sqrt(2))cotbeta`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

alpha and beta are acute angles and cos2alpha = (3cos2beta-1)/(3-cos2beta) then tan alpha cot beta =

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

If cos alpha=(2cos beta-1)/(2-cos beta) then tan (alpha/2) is equal to

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

If 0 lt alpha, beta lt pi and they satisfy cos alpha + cosbeta - cos(alpha + beta)=3/2

If tanalpha=(1-cosbeta)/(sinbeta),t h e n (a) tan3alpha=tan2beta (b) tan2alpha=tanbeta (c) tan2beta=tanalpha (d) none of these

If 2 tan (alpha/2)=tan (beta/2), prove that cos alpha=(3+5 cos beta)/(5+3 cos beta).

If tan(alpha-beta)=(sin2beta,)/(3-cos2beta) then (a) tanalpha=2tanbeta (b) tanbeta=2tanalpha (c) 2tanalpha=3tanbeta (d) 3tanalpha=2tanbeta

If 3cosalpha=2cos(alpha-2beta), then tan(alpha-beta) tanbeta= (A) 5 (B) -5 (C) 1/5 (D) -1/5

If alpha and beta satisfy sinalpha cos beta=-1/2 , then the greatest value of 2cos alpha sin beta is ……….

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. If t a ntheta/2=sqrt((1-e)/(1+e))tan(alpha/2), then cosalpha= (a) 1...

    Text Solution

    |

  2. If cos2x+2cosx=1t h e n ,(2-cos^2x)sin^2x is equal to

    Text Solution

    |

  3. If alpha and beta are acute angles satisfying cos2alpha=(3cos2beta-1)/...

    Text Solution

    |

  4. Prove that: cos^2A+cos^2(A+pi/3)+cos^2(A-pi/3)=3/2

    Text Solution

    |

  5. Prove that: cos^(2)48^(@)-sin^(2)12^(@)=(sqrt(5)+1)/(8)

    Text Solution

    |

  6. The value of (sin5alpha-sin3alpha)/(cos5alpha+2cos4alpha+cos3alpha) is

    Text Solution

    |

  7. If costheta=1/2(a+1/a),cos3theta=lambda(a^3+1/(a^3)), t ...

    Text Solution

    |

  8. Prove that: t a nA+tan(60^0+A)-t a n(60^0-A)=3t a n3A

    Text Solution

    |

  9. If t a n^2theta=2tan^2phi+1 , prove that cos2theta+sin^2phi=0.

    Text Solution

    |

  10. If theta=pi/(2^n+1) , prove that: 2^ncosthetacos2thetacos2^2thetacos2^...

    Text Solution

    |

  11. Prove that: cotA+"cot"(60^0+A)-cot(60^0-A)=3cot3A

    Text Solution

    |

  12. Prove that: cos^2 48^0-sin^2 12^0=(sqrt(5)+1)/8

    Text Solution

    |

  13. Find sin x/2 ,cos x/2 and tan x/2 of the following : tanx=-4/3,""x in...

    Text Solution

    |

  14. Find the values of cos pi/8

    Text Solution

    |

  15. Prove that: sin(pi/14)sin((3pi)/14)sin((5pi)/14)sin((7pi)/14)sin((9pi...

    Text Solution

    |

  16. Prove that: (1+sec2theta)(1+sec4theta)(1+sec8theta)....(1+sec2^ntheta)...

    Text Solution

    |

  17. If theta=pi/(2^n+1) , prove that: 2^ncosthetacos2thetacos2^2 cos2^(n-1...

    Text Solution

    |

  18. Prove that: cos(pi/7)cos((2pi)/7)cos((4pi)/7)=-1/8

    Text Solution

    |

  19. If alpha and beta are distinct roots of acostheta+b sintheta=c , prove...

    Text Solution

    |

  20. Prove that: sin^2(A/2+pi/8) - sin^2(A/2-pi/8)= 1/sqrt(2)sinA

    Text Solution

    |