Home
Class 11
MATHS
The range of 'y, such that the equation ...

The range of 'y, such that the equation in x, `y + cos x = sin x` has a real solution is

Text Solution

Verified by Experts

`-sqrt(2) le y le sqrt(2), pi/2, pi`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JM)|16 Videos

  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

Find the range of y such that the equation in x , y + cos x = sin x has a real solutions . For y=1 , find x such that 0 lt x lt 2 pi

The equation sin^(6)x+cos^(6)x=a , has a real solution if

Find the range of lambda so that the equation sin^(6)x+cos^(6)x=lambda-1 has a real solution.

Find the range of lambda so that the equation sin^(6)x+cos^(6)x=lambda-1 has a real solution.

The set of values of 'a' for which the equation "sin" x ("sin"x +"cos" x) = a has real solutions, is

The equation sin^(6)x+cos^(6)x=a^(2) has real solutions if

The differential equation for which y=a cos x+b sin x is a solution is

The differential equation for which y=a cos x+b sin x is a solution, is

The equation sin^(4) x + cos^(4) x + sin 2x + k = 0 must have real solutions if :

For what value of k the equation sin x+cos(k+x)+cos(k-x)=2 has real solutions?

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (S-1)
  1. (2cos4 0^(@)-cos2 0^(@))/(sin2 0^(@)

    Text Solution

    |

  2. cos^6(pi/16)+cos^6(3pi/16)+cos^6(5pi/16)+cos^6(7pi/16)

    Text Solution

    |

  3. tan1 0^(@)-tan5 0^(@)+tan7 0^(@)

    Text Solution

    |

  4. Given that (1+tan1^@)(1+tan2^@)+...........+(1+tan45^@)= 2^n find n .

    Text Solution

    |

  5. If a leq 3 cos (theta+pi/3)+5cos theta+3 leq b, find a and b, where ...

    Text Solution

    |

  6. Let k=1^@ then prove that sum(n=0)^(88)1/(cosnkcos(n+1)k)=cosk/sin^2k

    Text Solution

    |

  7. If x and y are real number such that x^2 +2xy-y^2=6, find the minimum...

    Text Solution

    |

  8. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

    Text Solution

    |

  9. solve the equation for x , 5^(1/2)+5^(1/2 + log5 sinx) = 15^(1/2 + log...

    Text Solution

    |

  10. Find values of theta satisfying sintheta+sin5theta=sin3theta such that...

    Text Solution

    |

  11. Solve the equality 2sin11 x+cos3x+sqrt(3)sin3x=0.

    Text Solution

    |

  12. Find all value of theta, between 0 & pi, which satisfy the equation;...

    Text Solution

    |

  13. Find the general solution of the equation, 2+tanx.cotx/2.tanx/2=0

    Text Solution

    |

  14. Determine the smallest positive value of x which satisfy the equation ...

    Text Solution

    |

  15. Find the general solution of the trignometric equation 3^(1/2+log(3)(c...

    Text Solution

    |

  16. Find the value of theta, which satisfy 3-2 cos theta-4 sintheta-cos 2...

    Text Solution

    |

  17. The range of 'y, such that the equation in x, y + cos x = sin x has a ...

    Text Solution

    |

  18. Find the general solution values of theta for which the quadratic (sin...

    Text Solution

    |

  19. Prove that the equations sin x*sin 2x*sin 3x = 1 have no solution.

    Text Solution

    |

  20. If alpha and beta are the roots of the equation, acostheta+bsintheta=c...

    Text Solution

    |