Home
Class 11
MATHS
If (x)/(y) = (cos A)/( cos B) then (x ta...

If `(x)/(y) = (cos A)/( cos B) then (x tan A +y tan B)/(x +y) =`

A

`tan "" (A +B)/( 2)`

B

`tan "" (A-B)/( 2)`

C

`cot ""(A+B)/(2)`

D

`cot"" (A-B)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) ( LEVEL - II (ADVANCED) MORE THAN CORRECT ANSWER TYPE QUESTIONS)|5 Videos
  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) ( LEVEL - II (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|5 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/y=(cos A)/(cos B) then (xtannA+ytanB)/(x+y) is equal to

If tan A=(x sin B)/(1- x cos B) and tan B=(y sin A)/(1-y cos A) then (sin A )/(sin B)=

If y =a cos (sin x) + b sin (sin x) then y _(2) + (tan x) y_(1)=

If y = a cos x + (b + 2x ) sin x then y _(2) + y =

If y= sin (sin x) then y _(2) + (tan x) y _(1) + y (cos ^(2) x)=

Prove that (sin (x +y) )/( sin (x-y)) = (tan x + tan y)/( tan x - tan y).

If (sin x)/(sin y)=1/2, (cos x)/(cos y)=3/2 = 3/2 , where x, y in (0,pi/4) , then the value of tan(x+y) is equal to:

If (x)/(a) cos theta + (y)/(b) sin theta = 1 , (x)/(a) sin theta - (y)/(b) cos theta =1 then

AAKASH SERIES-TRANSFORMATIONS -PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)
  1. If (x)/(y) = (cos A)/( cos B) then (x tan A +y tan B)/(x +y) =

    Text Solution

    |

  2. x = cos 55^(@), y = cos 65^(@), z= cos 175^(@) " then " xy+yz+ zx=

    Text Solution

    |

  3. cos A =(3)/4 implies 32 sin""((A)/(2)) sin""((5A)/(2))=

    Text Solution

    |

  4. The value of cos ^(2) 10^(@) cos 50^(@) + cos ^(2) 50^(@) is equal to

    Text Solution

    |

  5. If x,y,z are non zero real numbers and if x cos theta=y cos (theta+(2p...

    Text Solution

    |

  6. The value of sin ^(3) 10^(@) + sin ^(3) 50^(@) - sin ^(3) 70^(@) is eq...

    Text Solution

    |

  7. cot 16^(@) cot 44^(@) + cot 44^(@) cot 76^(@) - cot 76^(@) cot 16^(@)=

    Text Solution

    |

  8. The value of cot 70^(@) + 4 cos 70^(@) is

    Text Solution

    |

  9. cosec ""(360^(@))/(7) + cosec "" (540^(@))/(7)=

    Text Solution

    |

  10. Which of the following is not the value of sin 27^(@) - cos 27^(@) ?

    Text Solution

    |

  11. sin "" (pi)/(14) .sin "" (3pi)/(14).sin"" (5pi)/(14).sin""(7pi)/(14).s...

    Text Solution

    |

  12. Value of ( 3 + cot 80^(@) cot 20^(@))/(cot 80^(@) cot 20 ^(@)) is equ...

    Text Solution

    |

  13. In a Quadrilateral ABCD, cos A.cosB + sin C sin D=

    Text Solution

    |

  14. tan 9^(@) - tan 27^(@) - tan 63^(@) + tan 81^(@) =

    Text Solution

    |

  15. (sin ^(2) A - sin ^(2) B)/( sin A cos A - sin B cos B) is equal to

    Text Solution

    |

  16. ( sin 3 theta + sin 5 theta + sin 7 theta + sin 9 theta)/( cos 3 thet...

    Text Solution

    |

  17. Let (sin(theta-alpha))/(sin(theta-beta))=(a)/(b) and (cos(theta-alpha)...

    Text Solution

    |

  18. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

    Text Solution

    |

  19. (sin (n +1) A + 2 sin n A + sin (n-1) A)/( cos ( n -1) A - cos (n +1) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |