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

Verified by Experts

`56/73`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JA)|16 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JM)|8 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (O-1)|43 Videos
  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|1 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 .

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (S-1)
  1. If tan.(pi)/(24)=(sqrt(p)-sqrt(q))(sqrt(r )-s), then the value of p+q+...

    Text Solution

    |

  2. If m tan (theta - 30^(@))= n tan (theta + 120^(@)), show that cos 2 th...

    Text Solution

    |

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

    Text Solution

    |

  4. If the value of the expression sin 25^@* sin 35^@* sin 85^@ can be exp...

    Text Solution

    |

  5. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

    Text Solution

    |

  6. Prove that 4cos(2pi)/7dotcospi/7-1=2cos(2pi)/7dot

    Text Solution

    |

  7. Let P(k)=(1+cospi/(4k)) (1+cos((2k-1)pi)/(4k)) (1+cos((2k+1)pi)/(4k))...

    Text Solution

    |

  8. Evaluate (2cos4 0^(@)-cos2 0^(@))/(sin2 0^(@)

    Text Solution

    |

  9. Solve cos^6(pi/16)+cos^6((3pi)/16)+cos^6((5pi)/16)+cos^6((7pi)/16)

    Text Solution

    |

  10. Given that (1+tan1^@)(1+tan2^@)...........(1+tan45^@)= 2^n find n .

    Text Solution

    |

  11. Prove that from the equality (sin^(4)alpha)/a+(cos^(4)alpha)/b=1/(a+b)...

    Text Solution

    |

  12. If a leq 3 cos (theta+pi/3)+5cos theta+3 leq b, find a and b, where ...

    Text Solution

    |

  13. The value of (cotθ+cosecθ-1)/ (cotθ-cosecθ+1) is

    Text Solution

    |

  14. If x and y are real number such that x^2 +2xy-y^2=6, find the minimum...

    Text Solution

    |

  15. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

    Text Solution

    |

  16. solve the equation for x , 5^(1/2)+5^(1/2 + log5 sinx) = 15^(1/2 + log...

    Text Solution

    |

  17. Find values of theta satisfying sintheta+sin5theta=sin3theta such that...

    Text Solution

    |

  18. Which of the following are the solutions of equation 2sin 11x + cos3x ...

    Text Solution

    |

  19. Find all value of theta, between 0 & pi, which satisfy the equation;...

    Text Solution

    |

  20. Find the general solution of the equation, 2+tanx.cot(x/2) +cotx.tan(x...

    Text Solution

    |