Home
Class 11
MATHS
Let cos(alpha+beta)""=4/5 and let s in(a...

Let `cos(alpha+beta)""=4/5` and let `s in(alphabeta)""=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)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    ALLEN|Exercise All Questions|86 Videos

Similar Questions

Explore conceptually related problems

Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13) , where 0 le alpha , beta=(pi)/(4) . Then tan2alpha=

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

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

Let cos(alpha+beta)=(4)/(5) and let sin (alpha-beta)=(5)/(13) where 0<=alpha,beta<=(pi)/(4). Then tan2 alpha=(56)/(33)(b)(19)/(12)(c)(20)/(7) (d) (25)/(16)

Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0<=alpha,beta<=(pi)/(4) Then tan2 alpha=(36)/(33) b.(19)/(12) c.(20)/(7)d*(25)/(16)

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If t a ntheta=\ -4/3 then s intheta is- -4/5\ b u t\ not4/5 b. -4/5or4...

    Text Solution

    |

  2. sec^2theta=(4x y)/((x+y)^2) is true if and only if x+y!=0 (b) x=y ,x!...

    Text Solution

    |

  3. If u=a^2cos^2theta+b^2sin^2theta+a^2sin^2theta+b^2cos^2theta then the ...

    Text Solution

    |

  4. piltalpha-betalt3pi,sinalpha+sinbeta=-21/65,cosalpha+cosbeta="-27/65,t...

    Text Solution

    |

  5. If 0ltxltpi and cosx + sinx =1/2 , then tanx is (1) ...

    Text Solution

    |

  6. Let cos(alpha+beta)""=4/5 and let s in(alphabeta)""=5/(13) where 0lt=a...

    Text Solution

    |

  7. If A""=""s in^2x""+""cos^4x , then for all real x : (1) 3/4lt=Alt=1...

    Text Solution

    |

  8. In a DeltaPQR. if 3 sinP +4 cosQ=6 and 4sinQ+3cosP=1, then the angle R...

    Text Solution

    |

  9. The expression (t a n A)/(1-cot A)+(cot A)/(1-t a n A) can be written ...

    Text Solution

    |

  10. Let fK(x)""=1/k(s in^k x+cos^k x) where x in R and kgeq1 . Then f4(x)...

    Text Solution

    |

  11. If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2c...

    Text Solution

    |

  12. If A >0,\ B >0\ a n d\ A+B=\ pi/6 , then the minimum value of t a n A+...

    Text Solution

    |

  13. Given both thetaa n dvarphi are acute angles and sinalphabetagamma=1/2...

    Text Solution

    |

  14. In an equilateral triangle 3 coins of radii 1 unit each are kept so...

    Text Solution

    |

  15. t1 = (sintheta)^costheta ,t2 = (sintheta)^sintheta , t3 = (costheta)^c...

    Text Solution

    |

  16. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

    Text Solution

    |

  17. For 0<theta<pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+((m-1)/...

    Text Solution

    |

  18. The maximum value of the expression 1/(sin^2 theta + 3 sin theta cos t...

    Text Solution

    |

  19. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

    Text Solution

    |

  20. Let P={theta: s intheta-costheta=sqrt(2)costheta}a n d\ Q={theta: s in...

    Text Solution

    |