Home
Class 12
MATHS
Solve tan theta+tan 2 theta+sqrt(3) tan ...

Solve `tan theta+tan 2 theta+sqrt(3) tan theta tan 2 theta = sqrt(3)`.

Text Solution

AI Generated Solution

To solve the equation \( \tan \theta + \tan 2\theta + \sqrt{3} \tan \theta \tan 2\theta = \sqrt{3} \), we can follow these steps: ### Step 1: Rearranging the Equation Start by rearranging the equation to isolate the terms involving tangent: \[ \tan \theta + \tan 2\theta = \sqrt{3} - \sqrt{3} \tan \theta \tan 2\theta \] ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Concept Application Exercise 4.1|12 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Concept Application Exercise 4.2|6 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Archives (Matrix Match Type)|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

Similar Questions

Explore conceptually related problems

Solve the general vlaue. tan theta + tan 2 theta + sqrt3 tan theta tan 2 theta = sqrt3

Solve: tan4 theta = tan2theta

Solve : tan 3theta tan 2 theta = 1

Solve tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3)

Solve tan 5 theta= cot 2 theta .

Solve : tan6theta=tan3theta

Solve tan3theta=-1

Solve tan theta + tan 2 theta + tan theta * tan 2 theta * tan 3 theta=1

Solve: tan5theta=tan3theta

Solve : tan theta + sec theta = sqrt3.

CENGAGE ENGLISH-TRIGONOMETRIC EQUATIONS-ILLUSTRATION
  1. Solve tan 5 theta= cot 2 theta.

    Text Solution

    |

  2. Solve (tan^(2) x+2sqrt(3) tan x+7) (cot^(2) y-2 sqrt(3) cot y+8) le 20...

    Text Solution

    |

  3. Solve tan theta+tan 2 theta+sqrt(3) tan theta tan 2 theta = sqrt(3).

    Text Solution

    |

  4. Find common roots of the equations 2sin^2x+sin^2 2x=2a n dsin2x+cos2x=...

    Text Solution

    |

  5. Solve 2 sin^(2) x-5 sin x cos x -8 cos^(2) x=-2.

    Text Solution

    |

  6. Find the number of roots of the equation tan(x+pi/6)=2tanx ,forx in (0...

    Text Solution

    |

  7. Solve sin x-3 sin 2x + sin 3x = cos x -3 cos 2x + cos 3x.

    Text Solution

    |

  8. Solve 7 cos^(2) theta+3 sin^(2) theta=4.

    Text Solution

    |

  9. Solve (sin^(2) 2x+4 sin^(4) x-4 sin^(2) x cos^(2) x)/(4-sin^(2) 2x-4 s...

    Text Solution

    |

  10. Solve (log)(tanx)(2+4cos^2x)=2

    Text Solution

    |

  11. Solve 4cot2theta=cot^2theta-tan^2theta

    Text Solution

    |

  12. Find the most general solution of 2^1|cosx|+cos^2x+|cosx|^(3+oo)=4

    Text Solution

    |

  13. Solve the equation sqrt3cos x + sin x = sqrt2 .

    Text Solution

    |

  14. Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The -number of solutions of the equation cos(pisqrt(x-4)cos(pi sqrtx)=...

    Text Solution

    |

  19. If x , y in [0,2pi] , then find the total number of ordered pairs (x ,...

    Text Solution

    |

  20. Find the number of solution of sin^2xcos^2x=1+cos^2xsin^4x in the inte...

    Text Solution

    |