Home
Class 11
MATHS
If sintheta=(12)/(13),(0ltthetalt(pi)/(...

If `sintheta=(12)/(13),(0ltthetalt(pi)/(2))and cosphi=-(3)/(5),(piltphilt(3pi)/(2))`. Then , `sin(theta+phi)` will be

A

`(-56)/(61)`

B

`(-56)/(65)`

C

`(1)/(65)`

D

`-56`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|60 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

If sin theta = (12)/(13) (0 lt theta lt (pi)/(2)) and cos phi = (-3)/(5) (pi lt phi lt (3pi)/(2)) then 65 sin (theta + phi) + 60 equals to "_______"

Statement I: If sin alpha=(12)/(13),(0

If sin A=(3)/(5),0

If x sintheta=ysin(theta+(2pi)/(3))=z sin(theta+(4pi)/(3)), then

If sin A=(3)/(5),0

If sin A=(3)/(5),0

if sin A=-(5)/(13),pi<=A<=(3 pi)/(2) and cos B=(3)/(5),(3 pi)/(2)<=B<=2 pi then find tan(A+B)

sin A = (12) / (13), cos B = - (3) / (5); 0

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -COMPETITIVE THINKING
  1. IF 2 sin ( theta +(pi)/(3)) = cos (theta -(pi)/(6)), then ta...

    Text Solution

    |

  2. The value of cos 15^(@) - sin 15^(@) is equal to

    Text Solution

    |

  3. If sintheta=(12)/(13),(0ltthetalt(pi)/(2))and cosphi=-(3)/(5),(piltph...

    Text Solution

    |

  4. If pi/2 lt alpha lt pi, pi lt beta lt 3pi/2; sin alpha = 15/17 and tan...

    Text Solution

    |

  5. If tan(A+B) =p and tan (A + B)=q , then write the value of tan 2B.

    Text Solution

    |

  6. If cos(alpha+beta)=4/5; sin(alpha-beta)=5/13 and alpha,beta lie betwee...

    Text Solution

    |

  7. If cos(A-B)=3/5 and tanAtanB=2 then

    Text Solution

    |

  8. If sintheta=3sin(theta+2alpha), then the value of tan(theta+alpha)+2...

    Text Solution

    |

  9. If t a nbeta=(ns inalphacosalpha)/(1-ns in^2alpha) , show that tan(alp...

    Text Solution

    |

  10. If y = (1 + tan A) (1 - tan B), where A -B=pi/4 then (y+ 1)^(y + 1) is...

    Text Solution

    |

  11. cot(pi/4+theta)cot(pi/4-theta)"i s"

    Text Solution

    |

  12. A positive acute angle is divided into two parts whose tangents are 1/...

    Text Solution

    |

  13. If cosP=1/7 and cosQ=13/14, whera P and Q both are acute angles. Then ...

    Text Solution

    |

  14. If sinalpha=1/sqrt5 and sinbeta=3/5 , then beta-alpha lies in

    Text Solution

    |

  15. if tantheta1=kcottheta2 then find cos(theta1-theta2)/cos(theta1+theta2...

    Text Solution

    |

  16. (cos 17^(@) + sin 17^(@))/(cos 17^(@) - sin 17^(@))=

    Text Solution

    |

  17. Prove that (cos 9^(@)+ sin 9^(@))/(cos 9^(@) -sin 9^(@)) = tan 54^...

    Text Solution

    |

  18. If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha), then

    Text Solution

    |

  19. cos^2 4 5^(@)-sin^2 1 5^(@)=

    Text Solution

    |

  20. The value of cos^2(pi/6+theta)-sin^2(pi/6-theta) is

    Text Solution

    |