Home
Class 12
MATHS
If y+cosx = sinx has a real solution , t...

If y+cosx = sinx has a real solution , then :

A

`y le -sqrt2`

B

`-sqrt2 le y le sqrt2`

C

`y ge sqrt2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|20 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos
  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos

Similar Questions

Explore conceptually related problems

If y + "cos" theta = "sin" theta has a real solution, then

The equation sin x(sinx+cos x) = k has real solutions, where k is a real number. Then

Verify that the function defined by y = sinx - cosx is a solution of the initial value problem dy / dx = sinx +cosx ; such that y(0) = -1

Statement-1: The equation 3 cosx + 4sinx =6 has no solution. and Statement-2: Due to periodic nature of sine and cosine functions, the equations 3 cosx + 4 sinx =6 has infinitely many solutions.

Show that the equation e^(sinx)-e^(-sinx)-4=0 has no real solution.

Show that the equation e^(sinx)-e^(-sinx)-4=0 has no real solution.

The equation 3cosx+4sinx=6 has ...... solution. (a) Finite (b) Infinite (c) Unique or one solution (d) No solution

Find the number of integral values of k for which the equation 12cosx - 5 sinx = 2k+1 has a solution.

If x and y are the solutions of the equatiion 12sinx+5cosx=2y^2-8y+21 the value of 144cot(xy/2) is

If cosx−sinx≥1 and 0≤x≤2π, then the solution set for x is __

VMC MODULES ENGLISH-TRIGONOMETRIC IDENTITIES AND EQUATIONS -LEVEL -2
  1. If x+y+z=x y z prove that (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)=(2x)/...

    Text Solution

    |

  2. If x y+y z+x z=1,then prove that x/(1-x^2)+y/(1-y^2)+z/(1-z^2)=(4x y...

    Text Solution

    |

  3. If y+cosx = sinx has a real solution , then :

    Text Solution

    |

  4. If 2 cos x lt sqrt(3) and x in [-pi, pi] , then find the solution set...

    Text Solution

    |

  5. Sum of the roots of the equation x^2+7x+10=0

    Text Solution

    |

  6. Prove that: (cos6theta+6cos4theta+15 cos2theta+10)/(cos5theta+5cos3the...

    Text Solution

    |

  7. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

    Text Solution

    |

  8. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

    Text Solution

    |

  9. The number of real solution of the equation. sin(e^(x))=5^(x)+5^(-x) ...

    Text Solution

    |

  10. Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured ...

    Text Solution

    |

  11. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

    Text Solution

    |

  12. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

    Text Solution

    |

  13. The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a...

    Text Solution

    |

  14. The solution of equation sin^(50)x-cos^(50)x=1 can be (n in I)

    Text Solution

    |

  15. (sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2th...

    Text Solution

    |

  16. In interval [-(pi)/(2),(pi)/(2)], the equation log(sin theta )( cos^(...

    Text Solution

    |

  17. Prove tanx+ tany+ tanz=tan xtany tanz if x+y+z = pi

    Text Solution

    |

  18. If F(x) = sinx+cosx, then the most general solution of F(x) = [F((pi)/...

    Text Solution

    |

  19. If max {5 sin theta + 3 sin ( theta - alpha )}=7 , then the set of pos...

    Text Solution

    |

  20. Find the number of integral value of n so that sinx(sinx+cosx)=n has a...

    Text Solution

    |