Home
Class 11
MATHS
If x in [0. (pi)/(2)], y in [0, (pi)/(2)...

If `x in [0. (pi)/(2)], y in [0, (pi)/(2)] and sin x + cos y =2, ` then the value of `x+y ` is equal to

A

`2pi`

B

`pi`

C

`pi/4`

D

`pi/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|39 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

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

If 0 lt x lt pi/2 and sec x = cosec y , then the value of sin (x + y) is

If x cos y+y cos x=pi then the value of y'(0) is equal to pi(b)-pi(c)1(d)0

If x,y in[0,2 pi] and sin x+sin y=2, then the value of x+y is pi(b)(pi)/(2)(c)3 pi(d) none of these

If sin^(-1)x+sin^(-1)y=(pi)/(2) and sin2x=cos2y then the value of x is and sin2x=cos2y

if x+y=(2 pi)/(3) and cos x+cos y=(sqrt(3))/(2) then x,y is equal to:

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

Let x and y, (0 lt x, y lt pi/2) satisfy 3sin^(2)x + 2sin^(2)y=1 and 3sin2x = 2sin2y , then the value of 232/pi (x+2y) is……………

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -COMPETITIVE THINKING
  1. The value of sin 200^(@) + cos 200^(@) is

    Text Solution

    |

  2. cos 1^(@) ."" cos 2^(@) ."" cos 3^(@) "…." cos 179 ^(@)=

    Text Solution

    |

  3. If x in [0. (pi)/(2)], y in [0, (pi)/(2)] and sin x + cos y =2, then ...

    Text Solution

    |

  4. If sintheta-costheta=1, then the value of sin^3theta-cos^3theta is

    Text Solution

    |

  5. If tan theta =-4/3, then sin theta is

    Text Solution

    |

  6. If sin theta =(24)/(25) and theta lies in the second quadrant, then se...

    Text Solution

    |

  7. If sintheta=(2t)/(1+t^2) and theta lies in 2nd quadrant ,then costheta...

    Text Solution

    |

  8. If (3pi)/4 < alpha < pi , then sqrt(cosec ^2alpha+2cotalpha) is equal ...

    Text Solution

    |

  9. If cosectheta-cottheta=2017 , then quadrant in which theta lies is

    Text Solution

    |

  10. If cosec theta - cot theta = 1/2, 0 lt theta lt pi/2, then cos theta...

    Text Solution

    |

  11. If cosec A + cot A =11/2 , then tan A equal to

    Text Solution

    |

  12. If sec theta + tan theta =p, then tan theta is equal to

    Text Solution

    |

  13. If t a ntheta+s e ctheta, then costheta equals (e^x+e^(-x))/2 (b) 2/(...

    Text Solution

    |

  14. If sin theta + cos theta =1 then sin theta cos theta =

    Text Solution

    |

  15. If 3 sin A+5 cos A =5, then the value of (3 cos A-5 sin A )^(2) is

    Text Solution

    |

  16. If sectheta=m, tantheta = n, then 1/m{(m+n)+1/(m+n)}

    Text Solution

    |

  17. If sintheta +cos theta =m and sec theta + cosec theta =n then n(m+1)(m...

    Text Solution

    |

  18. If 2y cos theta =x sin theta and 2x sec theta -y cosec theta =3, then ...

    Text Solution

    |

  19. If tan theta + sin theta = 1, " then" cos^(2) theta = n " then" m^(2)...

    Text Solution

    |

  20. If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=tanalphatan...

    Text Solution

    |