Home
Class 11
MATHS
If sin A=3/5, cos B=-(12)/(13),\ w h e r...

If `sin A=3/5, cos B=-(12)/(13),\ w h e r e` A and B both lie in second quadrant, find the value of `sin(A+B)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|166 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|196 Videos

Similar Questions

Explore conceptually related problems

If sinx=3/5,cosy=-(12)/(13), where x and y both lie in second quadrant, find the value of sin (x + y)dot

If sinA=3/5 and cosB =-12/15 , where A and B both lie in second quadrant, then find the value of sin(A+B).

If sin theta = 12/13 and theta lies in the second quadrant, find the value of sec theta+tan theta .

If sintheta=(12)/(13)a n d\ theta lies in the second quadrant, find the values of s e ctheta+t a nthetadot

If cos A=-12/13 and cotB=24/7 where A lies in second quadrant and B lies in third quadrant then find the values of (i) sin (A+B) (ii) cos(A+B) (iii) tan(A+B)

If sinA=1/2,cosB=(12)/(13), w h e r e pi < A < (3pi)/2 and (3pi)/2 < B < 2pi , f i n d tan(A-B)

If sinA=3/5 and cosB=9/41, 0 < A < pi/2 and 0 < B < pi/2 then find the values of (i) sin(A+B) (ii) sin(A-B) (iii) cos(A+B) (iv) cos(A-B)

If cosP=1/7a n d\ cos Q=(13)/(14)w h e r e\ P\ a n d\ Q both are acute angles. Then, the value of P-Q is a. 30^0 b. 60^0 c. 45^0 d. 75^0

If sinA=3/5, cosB=-12/13 , where A in (0,pi/2) B in (pi,(3pi)/2) ,then evaluate the following: i) sin(A-B) ii) cos(A-B) iii) tan(A+B)

If sin A = sin B and cos A = cos B, find all the values of A in terms of B.

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. If sinA=12/13 and sinB=4/5 where pi/2 < A < pi and 0 < B < pi/2 then f...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If cosA=-24/25 and cos B=3/5 where pi < A < (3pi)/2 and (3pi)/2 < B < ...

    Text Solution

    |

  5. If cosA=-24/25 and cos B=3/5 where pi < A < (3pi)/2 and (3pi)/2 < B < ...

    Text Solution

    |

  6. If tanA=3/4,cosB=9/(41), where pi lt A lt (3pi)/2 and 0 lt B lt pi/2 ...

    Text Solution

    |

  7. If sinA=1/2,cosB=(12)/(13), w h e r e pi < A < (3pi)/2 and (3pi)/2...

    Text Solution

    |

  8. If sinA=1/2,cosB=(sqrt(3))/2, where pi/2 lt A lt pi and 0 lt B lt ...

    Text Solution

    |

  9. If sinA=1/2,cosB=(sqrt(3))/2, w h e r epi/2 lt A lt pi and 0ltBltpi/2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Prove that: cos 105^@+cos15^@=sin 75^@-sin 15^@

    Text Solution

    |

  16. Prove that: (tanA+tanB)/(tanA-tanB)=sin(A+B)/(sin(A-B)

    Text Solution

    |

  17. Prove that: (cos 11^@+"sin"11^@)/(cos 11^@-"sin"11^@)=tan 56^@

    Text Solution

    |

  18. Prove that: (cos8^@+"sin"8^@)/(cos8^@-"sin"8^@)=t a n 53^@

    Text Solution

    |

  19. The value of : (cos9^@+sin9^@)/(cos9^@-sin9^@) is:

    Text Solution

    |

  20. Prove that: sin(60^0-theta)cos(30^0+theta)+cos(60^0-theta)sin(30^0+the...

    Text Solution

    |