Home
Class 12
MATHS
Solve for x and y , 1-2x-x^(2)=tan^(2)(...

Solve for x and y `, 1-2x-x^(2)=tan^(2)(x+y)+cot^(2)(x+y)`.

Text Solution

Verified by Experts

The correct Answer is:
`x=-1 and y= npi pm (pi)/4 +1, n in I `
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

Solve for x and y : x+y=2and2x-y=1

Solve for x and y: 4x-2y=3 , 2x+y=1

Solve for x and y : 2^(y-x) (x + y) = 1 and (x + y)^(x - y) = 2 .

Solve for x and y:y^(x) = x^(y), x = 2y .

Solve for x and y 4(x-3)=3(y+3) 17-2x=8-(2y+1)

Solve for x and y, x + y = 2, x - y = 1

Solve for x and y(3)/(x)+(2)/(y)=6 and (1)/(y)-(1)/(2x)=2

The general solution of the equation tan^(2)(x + y) + cot^(2) ( x+ y) = 1 - 2x - x^(2) lie on the line is :

Solve for x and y (5)/(x+y)+(1)/(x-y)=2 (15)/(x+y)-(5)/(x-y)=-2

Solve for x and y x/2+(2y)/2=-1; x+y/3=3

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Subjective Type Questions)
  1. Find the number of solution of the equations |cos x |=[x], (where ...

    Text Solution

    |

  2. Find the number of solution of the equations x+ 2 tan x =(pi)/(2),...

    Text Solution

    |

  3. The equation sin^4 x + cos^4 x + sin2x + alpha = 0 is solvable for

    Text Solution

    |

  4. If 32tan^3theta=2cos^2alpha-3 cosalpha and 3cos2theta =1 then the gene...

    Text Solution

    |

  5. Solve the following system of simultaneous equation for xa n dydot 4^...

    Text Solution

    |

  6. Find all number x , y that satisfy the equation (sin^2 x +(1)/( sin^(...

    Text Solution

    |

  7. Find all the solution of x,y in the equation 4(3sqrt(4x-x^(2))sin^(2...

    Text Solution

    |

  8. Solve for x and y , 1-2x-x^(2)=tan^(2)(x+y)+cot^(2)(x+y).

    Text Solution

    |

  9. Solve the system of equations tan^2 x + cot^(2) x = 2cos^(2)y co...

    Text Solution

    |

  10. Find all the pairs of x,y that satisfy the equation cosx+cosy+cos(x+y)...

    Text Solution

    |

  11. Solve the equation cot((theta )/(2))-"cosec"((theta)/2)=cot theta

    Text Solution

    |

  12. Find the general solution of 1+sin^3x + cos^(3)x=(3)/(2)sin 2x

    Text Solution

    |

  13. Solve log((sin x))2log((sin^(2)x))a=-1 stating any condition on a' tha...

    Text Solution

    |

  14. Cosider the equation int(0)^(x) (t^(2)-8t+13)dt= x sin (a//x) If x t...

    Text Solution

    |

  15. If tanx=b/a, find the value of (acos2x+bsin2x).

    Text Solution

    |

  16. Find all number of pairs x,y that satisfy the equation tan^4) x + tan^...

    Text Solution

    |

  17. Determine all value of 'a' for which the equation cos^(4) x-(a+2) cos...

    Text Solution

    |

  18. For x in (-pi, pi) find the value of x for which the given equation (s...

    Text Solution

    |

  19. Show that the equation , sec theta + "cosec" theta = c has two roots...

    Text Solution

    |

  20. Solve the equation for x and y , |sin x + cos x|^( sin^(2) x-1//4)=1+|...

    Text Solution

    |