Home
Class 11
MATHS
Solve the following equation: tan^2x+(1-...

Solve the following equation: `tan^2x+(1-sqrt(3))tanx-sqrt(3)=0`

Text Solution

AI Generated Solution

To solve the equation \( \tan^2 x + (1 - \sqrt{3}) \tan x - \sqrt{3} = 0 \), we can follow these steps: ### Step 1: Identify the quadratic equation The given equation is a quadratic in terms of \( \tan x \): \[ \tan^2 x + (1 - \sqrt{3}) \tan x - \sqrt{3} = 0 \] ...
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos
  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|167 Videos

Similar Questions

Explore conceptually related problems

tan^(2)x-(1+sqrt(3))tan x+sqrt(3)<0

Solve that following equations: quad tan^(2)theta+(1-sqrt(3))tan theta-sqrt(3))=0

Solve the following equations : sqrt2x+sqrt3y=0 sqrt3x-sqrt8y=0

Solve the following equation: 2sin^(2)x+sqrt(3)cos x+1=0

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

Solve the following system of equations: sqrt(2)x-sqrt(3)y=0,quad sqrt(3)x-sqrt(8)y=0

Solve the following trigonometric equation: tan2 theta=sqrt(3)

Solve that following equations: (sqrt(3)-1)cos theta+(sqrt(3)+1)sin theta=2

Find the principal solutions of the following equations : (1) tanx=-sqrt(3) (2) sqrt(3)sec x+2=0 .

Solve tan^2 x-(1+sqrt3)tan x+sqrt3=0

RD SHARMA-TRIGONOMETRIC EQUATIONS-Solved Examples And Exercises
  1. Solve the following equation: sin^2theta-costheta=1/4

    Text Solution

    |

  2. Solve the following equation: 2sin^2x+sqrt(3)cos x+1=0

    Text Solution

    |

  3. Solve the following equation: tan^2x+(1-sqrt(3))tanx-sqrt(3)=0

    Text Solution

    |

  4. Solve the following equation: \ 3cos^2theta-2\ sqrt(3)sinthetacostheta...

    Text Solution

    |

  5. Solve the following equation: \ 2cos^2theta-5\ costheta+2=0

    Text Solution

    |

  6. Solve the following equation: \ 4sin^2theta-8costheta+1=0

    Text Solution

    |

  7. Solve the following equation: cos4theta=cos2theta

    Text Solution

    |

  8. Solve the following equation: costheta+cos2theta+cos3theta=0

    Text Solution

    |

  9. Solve the following equation: sintheta+sin5theta=sin3theta

    Text Solution

    |

  10. Solve the following equation: costheta+sintheta=cos2theta+ sin2theta

    Text Solution

    |

  11. Solve the following equation: sintheta+ sin2theta+sin3theta+sin4theta...

    Text Solution

    |

  12. Solve the following equation: sin3theta-sintheta=4cos^2theta-2

    Text Solution

    |

  13. Solve the following equation: costheta+cos3theta-cos2theta=0

    Text Solution

    |

  14. Solve the following equation: costheta\ cos2theta\ cos3theta=1/4

    Text Solution

    |

  15. Solve the following equation: sintheta+sin2theta+sin3theta+ sin4theta=...

    Text Solution

    |

  16. Solve the following equation: sin2theta-sin4theta+sin6theta=0

    Text Solution

    |

  17. Solve the following equation: tantheta+tan2theta+tan3theta=0

    Text Solution

    |

  18. Write the general solution of tan^2 2x=1.

    Text Solution

    |

  19. Solve the equation 5cos^2 theta+7sin^2theta-6=0

    Text Solution

    |

  20. Writhe the number of values of theta\ in\ [0,2pi] thast satisfy the eq...

    Text Solution

    |