Home
Class 12
MATHS
Let cos(alpha+beta)""=4/5 and let sin (a...

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)`

A

`(56)/(33)`

B

`(19)/(12)`

C

`(20)/(7)`

D

`(25)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos

Similar Questions

Explore conceptually related problems

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

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

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)

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)

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

If sin(alpha+beta)=1 and sin(alpha-beta)=1/2 , where 0lt=alpha, betalt= pi/2 , then find the values of tan(alpha+2beta) and tan(2alpha+beta) .

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 .

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).

If sin^4alpha+cos^4beta+2=4sinalphacosbeta,0lt=alpha,betalt=pi/2 then find the value of (sinalpha+cosbeta)dot

RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC...

    Text Solution

    |

  2. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

    Text Solution

    |

  3. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  4. If A=sin^(2)x+cos^(4)x, then for all real x

    Text Solution

    |

  5. Let X""=""{1,""2,""3,""4,""5} . The number of different ordered pairs ...

    Text Solution

    |

  6. In a Delta PQR , if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1, th...

    Text Solution

    |

  7. Let A and B be two sets containing 2 elements and 4 elements, respecti...

    Text Solution

    |

  8. The expression (tan A)/(1-cotA)+(cot A)/(1-tan A) can be written as

    Text Solution

    |

  9. If X={4^(n)-3n-1:ninN}andy={9(n-1):ninN}, then X uu Y equals

    Text Solution

    |

  10. Let fk(x)=1/k(sin^kx+cos^kx)" where "x in R and kge1. " Then "f4(x) -f...

    Text Solution

    |

  11. Let A and B be two sets containing 2 elements and 4 elements, respecti...

    Text Solution

    |

  12. If the anlges of elevation of the top of a tower from three collinear ...

    Text Solution

    |

  13. If 0 le x le 2pi, then the number of real values of x, which satisfy t...

    Text Solution

    |

  14. If 5 (tan ^(2) x - cos ^(2) x ) = 2 cos 2x +9, then the value of cos 4...

    Text Solution

    |

  15. Let a vertical tower A B have its end A on the level ground. Let C be ...

    Text Solution

    |

  16. Let S= {x in R : x ge 0 and 2 |sqrt(x) - 3| + sqrt(x)(sqrt(x) - 6) +...

    Text Solution

    |

  17. If the sum of all the solutions of the equation 8 cosx.(cos(pi/6+x)cos...

    Text Solution

    |

  18. PQR is a triangular park with PQ=PR=200m. A.T.V. tower stands at the m...

    Text Solution

    |

  19. Let S= {x in R : x ge 0 and 2 |sqrt(x) - 3| + sqrt(x)(sqrt(x) - 6) +...

    Text Solution

    |

  20. In a class of 140 students numbered 1 to 140, all even numbered studen...

    Text Solution

    |