Home
Class 11
MATHS
It cos(alpha+beta)=4/5,sin(alpha-beta)=5...

It `cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta` lie between `0a n dpi/4` , prove that `tan2alpha=(56)/(33)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|166 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|196 Videos

Similar Questions

Explore conceptually related problems

If cos(alpha+beta)=4/5; sin(alpha-beta)=5/13 and alpha,beta lie between 0&pi/4 then find the value of tan2alpha

If cos(alpha+beta)=0 then sin(alpha+2beta)=

If cos (alpha + beta) = (4)/(5), sin (alpha - beta) = (5)/(13) and alpha and beta lie between 0 and (pi)/(4) , find tan 2 alpha .

Let cos(alpha+beta)""=4/5 and let sin (alpha-beta)""=5/(13) where 0lt=alpha,betalt=pi/4 , then t a n""2alpha= (1) (56)/(33) (2) (19)/(12) (3) (20)/7 (4) (25)/(16)

If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) , where alpha lie between 0 and (pi)/(4) , then find that value of tan2alpha .

If sin (alpha + beta) = 4/5 , sin (alpha -beta) = (5)/(13), alpha + beta , alpha - beta being acute angles prove that tan 2 alpha = (63)/(16).

Let cos (alpha+beta) = 4/5 and sin(alpha-beta)=5/13 where 0<= alpha,beta<= pi/4 then find tan (2alpha)

cos(alpha+beta)+sin(alpha-beta)=0"and"tanbeta=1/2009 ,find tan(alpha)

If cos(alpha+beta)+sin(alpha-beta)=0 and tan beta ne1 , then find the value of tan alpha .

If sin (alpha + beta) = 4/5 , cos (alpha - beta) = (12)/(13) 0 lt alpha lt (pi)/(4), 0 lt beta lt (pi)/(4), find tan 2 alpha .

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. Prove that (2sqrt3 + 3) sinx +2sqrt3 cos x lies between -(2sqrt3 +sq...

    Text Solution

    |

  2. Prove that: ("sin"(x+theta))/("sin"(x+phi))=cos(theta-phi)+cot(x+phi)s...

    Text Solution

    |

  3. It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta lie betwe...

    Text Solution

    |

  4. If tanA-tanB=x a n dcotB-cotA=y , prove that cot(A-B)=1/x+1/y

    Text Solution

    |

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

    Text Solution

    |

  6. If sinB=3sin(2A+B) ,prove :2tanA+tan(A+B)=0.

    Text Solution

    |

  7. If 2tanbeta+cotbeta=tanalpha , prove that cotbeta=2tan(alpha-beta)dot

    Text Solution

    |

  8. If the system of linear equations x=cy+bz, y=az+cx,z=bx+ay has a non t...

    Text Solution

    |

  9. Prove that: tan3Atan2AtanA=t a n3A-tan2A-t a n A cot Acot2A-cot2Aco...

    Text Solution

    |

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

    Text Solution

    |

  11. Prove that: sin^2A=cos^2(A-B)+cos^2B-2cos(A-B)cosAcosBdot

    Text Solution

    |

  12. If 3t a n At a n B=1, prove that 2cos(A+B)=cos(A-B)dot

    Text Solution

    |

  13. Prove that: tan75^0+cot75^0=4

    Text Solution

    |

  14. If alphaa n dbeta are the solutions of acostheta+bsintheta=c , then ...

    Text Solution

    |

  15. If alpha a n d beta are the solutions of the equation at a ntheta+bs e...

    Text Solution

    |

  16. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , show that (tanx)/(tany)=a/b .

    Text Solution

    |

  17. If t a n(pi//4+theta)+t a n(pi//4-theta)=a , then t a n^2(pi//4+theta...

    Text Solution

    |

  18. If t a n x+tan(x+pi/3)+tan(x+(2pi)/3)=3, then prove that (3tanx-t a n^...

    Text Solution

    |

  19. If theta lies in the first quadrant and costheta=8/(17) , then prove t...

    Text Solution

    |

  20. If tan(A-B)=1,sec(A+B)=2/(sqrt(3)) , then the smallest positive value ...

    Text Solution

    |