Home
Class 11
MATHS
If sinA=4/5a n dcosB=5/(13),\ w h e r e\...

If `sinA=4/5a n dcosB=5/(13),\ w h e r e\ 0

Text Solution

Verified by Experts

Given, `sinA=4/5​=>cosA=(3)/5`
​ `cosB=5/13​=>sinB=12/13`
​ `sin(A+B)=sinAcosB+cosAsinB`
=`(4/5)​(5/13)+(3/5)​(12/13)​`
=`(56)/65​`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|167 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|193 Videos

Similar Questions

Explore conceptually related problems

If sinA=1/2,cosB=(12)/(13), w h e r e pi/2ltaltpia n="" d(3pi)="" 2ltblt2pi="" ,="" find="" tan(a-b)dot

If sinA=1/2,cosB=(sqrt(3))/2, w h e r e pi/2

If tanA=3/4,cosB=9/(41), w h e r e pi

If A,Bin(0,pi//2),sinA=(4)/(5)andcos(A+B)=-(12)/(13) , then sinB=?

Find the value of a for which the following function is continuous at a given point. f(x)={(1-cos4x)/(x^2),\ w h e r e\ x 0

Draw the graph of the following function: g(x)=[cos^(-1)x],\ w h e r e\ [\ ] denotes greatest integer function.

Let A and B be two sets such that n(A)=3 a n d n(B)=2. if (x ,1), (y ,2), (z ,1)a r e in AxxB , find A a n d B , w h e r e x , y , z are distinct elements.

If A is in the fourth quadrant and cosA=(5)/(13) , find the value of (13sinA+5secA)/(5tanA+6" cosec A") :

If ^n P_r=720a n d^n C_r=120 ,t h e nr to a. 3 b. 4 c. 5 d. 6

If x+y=pi/4a n dtanx+tany=1,t h e n(n in Z) (a)sinx=0a l w a y s (b)when x=npi+pi/4t h e ny=-npi (c)when x=npit h e ny=npi+(pi/4) (d)when x=npi+pi/4t h e ny=npi-(pi/4)

RD SHARMA-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-Solved Examples And Exercises
  1. If s inalpha+s inbeta=a\ a n d\ cosalpha+cosbeta=b , show that : cos(a...

    Text Solution

    |

  2. If s inalpha+s inbeta=a\ a n d\ cosalpha+cosbeta=b , show that : cos(a...

    Text Solution

    |

  3. If sinA=4/5a n dcosB=5/(13),\ w h e r e\ 0<A ,\ B<pi/2 , find the valu...

    Text Solution

    |

  4. If sinA=4/5a n dcosB=5/(13),\ w h e r e\ 0<A ,\ B<pi/2 , find the valu...

    Text Solution

    |

  5. If sinA=4/5a n dcosB=5/(13),\ w h e r e\ 0<A ,\ B<pi/2 , find the valu...

    Text Solution

    |

  6. If sinA=4/5a n dcosB=5/(13),\ w h e r e\ 0<A ,\ B<pi/2 , find the valu...

    Text Solution

    |

  7. If sinA=12/13 and sinB=4/5 where pi/2 < A < pi and 0 < B < pi/2 then f...

    Text Solution

    |

  8. Prove that sinx/cos(3x)+sin(3x)/cos(9x)+sin(9x)/cos(27x)=1/2 (tan27x-t...

    Text Solution

    |

  9. If s in A=3/5, cos B=-(12)/(13),\ w h e r e A and B both lie in second...

    Text Solution

    |

  10. If cosA=4/5 and cos B=12/13 where and (3pi)/2 < B < A < 2pi then f...

    Text Solution

    |

  11. If cosA=4/5 and cos B=12/13 where (3pi)/2 < B < A < 2pi then find c...

    Text Solution

    |

  12. If tanA=3/4,cosB=9/(41), w h e r e\ pi<A<(3pi)/2a n d\ 0<B<pi/2 , find...

    Text Solution

    |

  13. If sinA=1/2,cosB=(12)/(13), w h e r e pi/2ltaltpia n="" d(3pi)="" 2ltb...

    Text Solution

    |

  14. If sinA=1/2,cosB=(sqrt(3))/2,\ w h e r e\ pi/2<A<pi\ a n d\ 0<B<pi/2 ,...

    Text Solution

    |

  15. If sinA=1/2,cosB=(sqrt(3))/2, w here pi/2 lt A lt pi and 0ltBltpi/2 f...

    Text Solution

    |

  16. Evaluate the following: sin 78^0cos 18^0-cos 78^0sin 18^0

    Text Solution

    |

  17. Evaluate the following: sin 36^0cos9^0+cos36^0 sin9^0

    Text Solution

    |

  18. Evaluate the following: cos 47^0cos 13^0-sin 47^0 sin 13^0

    Text Solution

    |

  19. Evaluate the following: cos 80^0cos 20^0+ sin 80^0 sin 20^0

    Text Solution

    |

  20. If cos A=-12/13 and cotB=24/7 where A lies in second quadrant and B li...

    Text Solution

    |