Home
Class 12
MATHS
lf sin(x-y)-cos(x + y) = 1/2 then the v...

lf `sin(x-y)-cos(x + y) = 1/2` then the values of `x & y` lying between `0 and pi` are given by

A

`x=pi//4,y=3pi//4`

B

`x=pi//4,y=3pi//12`

C

`x=5pi//4,y=5pi//12`

D

`x=11pi//12,y=3pi//4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

If sin(x-y)-cos(x+y)=(1)/(2) then the values of x&y lying between 0 and pi are given by

If sin(x-y)=cos(x+y)=1/2, the value of x and y lyingbetween 0^(@)and 90^(@) are given by

If sin (x+y)=cos (x-y), then the value of cos^2x is :

If cos x + cos y =2, then value of sin x + sin y is

If x, y in [0, 2pi] and sin x + sin y=2 , then the value of x+y is

What is the area of the portion of the curve y=sinx, lying between x=0,y=0 and x=2pi ?

If sin^(-1)(x^(2)-4x+5)+cos^(-1)(y^(2)-2y+2)=(pi)/(2) then find the value of x and y.

IF x cos ( y //x ) ( ydx + xdy)=y sin ( y // x) ( xdy - ydx ) y (1) = 2 pi then the value of 4 ( y (4) )/(pi ) cos (( y (4))/(4)) is :

RESONANCE-DPP-QUESTION
  1. If sintheta+sinphi=aand costheta+cosphi =b, then

    Text Solution

    |

  2. If sin theta+cos theta=1/5and 0ltthetalt2pi,then tan thetais

    Text Solution

    |

  3. lf sin(x-y)-cos(x + y) = 1/2 then the values of x & y lying between...

    Text Solution

    |

  4. If tan x + tan 2x + tan 3x = 0 then which of the following can hold go...

    Text Solution

    |

  5. Along a road lies an odd number of stones placed at intervals of 10m. ...

    Text Solution

    |

  6. First, second and sevents terms of an A.P. (all the terms are distinct...

    Text Solution

    |

  7. If the sum of the first 2n terms of the A.P.2,5,8,…, is equal to the s...

    Text Solution

    |

  8. The sum of integers from 1 to 100 that are divisible by 2 or 5 is

    Text Solution

    |

  9. Sum of an infinite G.P. is 5/4 times the sum of all the odd terms. The...

    Text Solution

    |

  10. Sum of an infinitely manu terms of a G.P. is 3 times the sum of even t...

    Text Solution

    |

  11. Given in (-1,0)uu(0,1)and f(x)= sum(n-0)^(oo) x^(n)(-1)^(n(n+1)/(2)). ...

    Text Solution

    |

  12. Numerical value of cos(pi/12)(sin(5pi)/12+cos(pi/4))+sin(pi/12)(cos(5p...

    Text Solution

    |

  13. If A and B are two sets, then Ann(bar(AuuB)) is equal to :

    Text Solution

    |

  14. A survey shows that 60% of the people watch a News achannel, whereas 7...

    Text Solution

    |

  15. If cos(alpha+beta)=0 then sin(alpha+2beta)=

    Text Solution

    |

  16. Two infinite sets have m and n elements. The number of subsets of t...

    Text Solution

    |

  17. If Xuu{1,2}={1,2,3,5,9}, then :

    Text Solution

    |

  18. If sqrt((1-sinA)/(1+sinA))+(sinA)/(cosA)=(1)/(cosA), for all permissib...

    Text Solution

    |

  19. Let ax^(2)+a^(2)x+2=0 be a quadratic equation, a in R and S be the set...

    Text Solution

    |

  20. Let ax^(2)+a^(2)x+2=0 be a quadratic equation, a in R and S be the set...

    Text Solution

    |