Home
Class 11
MATHS
Consider the system of equations sin x...

Consider the system of equations
`sin x cos 2y=(a^(2)-1)^(2)+1, cos x sin 2y = a+1`
The number of values of a for which the system has a solution is

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Consider the system of equations sin x cos 2y=(a^(2)-1)^(2)+1, cos x sin 2y = a+1 The number of values of y in [0, 2pi] , when the system has solution for permissible values of a, are

Consider the system of equations sin x cos 2y=(a^(2)-1)^(2)+1, cos x sin 2y = a+1 The number of values of y in [0, 2pi] , when the system has solution for permissible values of a, are

Consider the system of equations sinx.cos2y=(a^2−1)^2+1 , cosx.sin2y=a + 1 , then the Number of values of x in [0,\ 2pi] when the system has solution for permissible values of a is/are 1 (b) 2 (c) 3 (d) infinite

Solve for x and y the system of equations sinx cos 2y=1 cosx sin 2y=0

Solve the following system of equations. sin x + cos y=1, cos 2x-cos 2y=1

Consider the system of equations x cos^(3) y+3x cos y sin^(2) y=14 x sin^(3) y+3x cos^(2) y sin y=13 The value/values of x is/are

Solve the system of equations tan^2 x + cot^(2) x = 2cos^(2)y cos^(2)y+sin^(2)z=1

The solutions of the system of equations sin x sin y=sqrt(3)/4, cos x cos y= sqrt(3)/4 are

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

Find all values of x, y and k for which the system of equations. sinx cos2y = k^(4)-2k^(2)+2 cosx sin2y=k+1 has a solution.

ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. If cotθ+cosecθ=5 , find cosθ.

    Text Solution

    |

  2. The number of solutions of the pair of equations 2sin^2theta−cos2th...

    Text Solution

    |

  3. Consider the system of equations sin x cos 2y=(a^(2)-1)^(2)+1, cos x...

    Text Solution

    |

  4. Consider the system of equations sinx.cos2y=(a^2−1)^2+1, cosx.sin2y=a ...

    Text Solution

    |

  5. The number of ordered triplets of positive integers which are solution...

    Text Solution

    |

  6. If sinA=sin B and cosA=cosB , then find the value of A in terms of Bdo...

    Text Solution

    |

  7. Solve the equation 1+ 2 "cosec" x =(-sec^(2)""(x)/(2))/(2)

    Text Solution

    |

  8. Solve the equation : cot x=2 , sin2x=1

    Text Solution

    |

  9. If alpha\ &\ beta satisfy the equation, a cos2theta+b sin2theta=c th...

    Text Solution

    |

  10. The number of solution of the equation sqrt(13-18tanx)=6 tan x-3, wher...

    Text Solution

    |

  11. Solve: cottheta +cos e ctheta=sqrt(3)

    Text Solution

    |

  12. Solve : sin5x=cos2x for all values of x between 0^0\ &\ 180^0

    Text Solution

    |

  13. Solve the equation : (1-t a ntheta)(1+sin2theta)=1+t a ntheta

    Text Solution

    |

  14. Solve sec4theta-sec2theta=2

    Text Solution

    |

  15. Solve the equation : cos3xdotcos^3x+s in3xdotsin^3x=0

    Text Solution

    |

  16. Solve: sin3alpha=4sinalphasin(x+alpha)sin(x-alpha),w h e r ealpha!=npi...

    Text Solution

    |

  17. Solve the inequality : sin3x< sin x

    Text Solution

    |

  18. Solve the inequality : tan^2x-(sqrt(3)+1)\ t a n x+sqrt(3)<0

    Text Solution

    |

  19. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

    Text Solution

    |

  20. For what value of k the equation sinx+cos(k+x)+cos(k-x)=2 has real sol...

    Text Solution

    |