Home
Class 11
MATHS
Solve the equation 1 + sin^(2) theta = 3...

Solve the equation `1 + sin^(2) theta = 3 sin theta cos theta`.

Text Solution

Verified by Experts

The correct Answer is:
`{npi + (pi)/(4) : n in Z} cup {n pi + alpha : n in Z}` where `0 lt alpha lt pi//2` and `tan alpha = 1//2`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Additional Exercise|14 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Exercise -I|23 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Exercise - 6.1 ( VERY SHORT ANSWERS QUESTIONS)|17 Videos

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)|23 Videos

Similar Questions

Explore conceptually related problems

The maximum value of the expression (1)/( sin^(2) theta + 3 sin theta cos theta + 5cos^(2) theta) is

Solve the following equations 2Sin^(2) theta = Sin theta, theta in (0, pi)

If 1+sin^(2)theta = 3 sin theta cos theta , then theta =

Solutions of the equation sin (sqrt(1 + sin 2 theta)) = sin theta + cos theta " is " (n in Z)

If 0 lt theta lt pi/2 , the solution of the equation sin theta - 3 sin 2 theta + sin 3 theta = cos theta - 3 cos 2 theta + cos 3 theta is

Solution of the equation sin(sqrt(1+sin 2 theta))=sin theta+cos theta is ( n in Z)

4 sin 5 theta cos 3 theta sin 2 theta

AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise - 6.1 Short Answer Questions
  1. Solve the following equations and write general solutions 6 tan^(2...

    Text Solution

    |

  2. Solve the following equations and write general solutions 2 Sin^(2...

    Text Solution

    |

  3. Solve the equation 1 + sin^(2) theta = 3 sin theta cos theta.

    Text Solution

    |

  4. If 0 lt x lt pi/2 then solve cot^2x-(sqrt3+1)cotx+sqrt3=0

    Text Solution

    |

  5. Solve the following equations and write general solutions 2 + sqrt(...

    Text Solution

    |

  6. Solve the following equations and write general solutions sin 2 the...

    Text Solution

    |

  7. Solve the following equations and write general solutions sin 3 the...

    Text Solution

    |

  8. Solve the following equations and write general solutions 1 + sin 2...

    Text Solution

    |

  9. Solve the following equations and write general solutions sec 4 x -...

    Text Solution

    |

  10. If cos 3x + cos 2x = sin (3x//2)+sin(x//2), 0 le x le 2pi, then x =

    Text Solution

    |

  11. Solve the following equations and write general solutions sec x cos...

    Text Solution

    |

  12. Solve the following equations and write general solutions 4 cos the...

    Text Solution

    |

  13. Solve the following equations and write general solutions 4 sin the...

    Text Solution

    |

  14. Solve sin x + sqrt(3) cos x = sqrt(2).

    Text Solution

    |

  15. Solve sqrt(2)(sinx+cosx)=sqrt(3)

    Text Solution

    |

  16. Solve the following equations tan theta + sec theta = sqrt(3) in [0...

    Text Solution

    |

  17. Solve the following equations sqrt(3) Sin theta - Cos theta = sqrt(...

    Text Solution

    |

  18. Solve the following equations Cot x + "Cosec x" = sqrt(3)

    Text Solution

    |

  19. If theta(1), theta(2) are solutions of the equation a cos 2theta + bsi...

    Text Solution

    |

  20. If alpha, beta are solutions of a cos theta + b sin theta = c where a,...

    Text Solution

    |