Home
Class 11
MATHS
If x and y are acute angles such that co...

If x and y are acute angles such that `cos x+ cosy=(3)/(2) and sinx + sin y=(3)/4 " then " sin(x+y)=`

A

`3/4`

B

`3/5`

C

`4/5`

D

`2/5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LACTURE SHEET (EXERCISE-I Integer Type Questions)|7 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos

Similar Questions

Explore conceptually related problems

If x and y are acute angle such that cosx+"cos" y=(3)/(2) and sin x+"sin" y=(3)/(4) then sin (x+y)=

If cos x+ cos y = 1//3 , sin x + sin y=1//4 " then " cos (x+y)=

If sin x + sin y =(1)/4 , sin x- sin y =1/5 , " then " 4 cot ""((x-y)/2)=

I : If cos x + cos y=1/3 , sin x+sin y=1//4 " then " cos (x+y)=7//25 II : If cos x + cos y=1//3 , sin x + sin y=1//4 " then " sin(x+y)=24//25

(cos x- cos y) ^(2) + (sin x - sin y) ^(2) =4 sin ^(2) "" ( x-y)/(2)

If Sin x Cosy = 1/4 and 3Tanx = 4 Tany then Sin (x - y) =

If x + y = 2 pi // 3 and sin x / sin y = 2 , then the

AAKASH SERIES-TRANSFORMATIONS -PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)
  1. (sin (n +1) A + 2 sin n A + sin (n-1) A)/( cos ( n -1) A - cos (n +1) ...

    Text Solution

    |

  2. If cos alpha+ cos beta= a, sin alpha+ sin beta= b and alpha- beta= 2 t...

    Text Solution

    |

  3. If x and y are acute angles such that cos x+ cosy=(3)/(2) and sinx + s...

    Text Solution

    |

  4. cos x + cos y + cos z = 0 and sin x + sin y + sin z, then cos ^(2) ((...

    Text Solution

    |

  5. If cos x + cos y + cos z =0 = sin + sin y +sin z then tan (x-y) =

    Text Solution

    |

  6. If cos (theta - alpha) , cos theta , cos (theta + alpha ) are in H.P....

    Text Solution

    |

  7. (sin 3 thea - sin theta sin ^(2) (2 theta ))/( sin theta + sin 2 theta...

    Text Solution

    |

  8. ( cos 6 theta +6 cos 4 theta + 15 cos 2 theta + 10)/( cos 5 theta + 5 ...

    Text Solution

    |

  9. If cos theta (1) = 2 cos theta (2), then tan (( theta (1) + theta (2)...

    Text Solution

    |

  10. If A, B, C, D be the angle of a quadrilateral, then (tan A + tan B + t...

    Text Solution

    |

  11. If (tan(alpha + beta - gamma))/(tan(alpha - beta + gamma)) = (tan gamm...

    Text Solution

    |

  12. (( cos alpha - cos 3 alpha ) ( sin 8 alpha + sin 2 alpha ))/( ( sin 5 ...

    Text Solution

    |

  13. If sin (y+z-x), sin (z+x-y), sin (x+y-z) are in A. P , then prove that...

    Text Solution

    |

  14. If x,y,z are in A.P, then ( sin x - sin z)/( cos z - cos x) is equal t...

    Text Solution

    |

  15. If A, B, C are the angles of a triangle such that "cot"(A)/(2)="3 tan"...

    Text Solution

    |

  16. x tan (theta - (pi)/(6)) = y tan (theta + (2pi)/(3)) implies (x + y)/(...

    Text Solution

    |

  17. If (1+sqrt(1+a)) tan alpha =1 + sqrt(1- alpha ) then sin 4 alpha =

    Text Solution

    |

  18. cos ^(3) x sin 2x= sum (x=0) ^(n) a (r) sin (rx) AA x in R, then

    Text Solution

    |

  19. If cos ^(2) A + cos ^(2) B = cos ^(2) C = 1 then show that Delta A...

    Text Solution

    |

  20. If cos x + cos y - cos (x + y ) =3/2, the

    Text Solution

    |