Home
Class 11
MATHS
Find the general solutions of the follow...

Find the general solutions of the following equation: `2\ sin\ theta+1=0`

Text Solution

Verified by Experts

Given, `2sintheta+1=0⇒sintheta=−1/2​`
⇒`theta=nπ+(−1)^n(−π/6​)`
⇒`theta=nπ−(−1)^n(π/6​)`
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

Find the general solutions of the following equation: sin theta=(1)/(2)

Find the general solutions of the following equation: cos ec theta=2

Find the general solutions of the following equations: sin2 theta=0( ii) sin((3 theta)/(2))=0 (iii) sin^(2)2 theta=0

Find the general solutions of the following equation: sin9 theta=sin theta

Find the general solutions of the following equation: sin theta=(sqrt(3))/(2)

Find the general solutions of the following equation: sin theta=tan theta

Find the general solutions of the following equation: sin3 theta+cos2 theta=0

Find the general solutions of the following equation: sin2 theta=cos3 theta

Find the general solutions of the following equation: sin2 theta=(sqrt(3))/(2)

Find the general solutions of the following equation: s in2 theta+cos theta=0

RD SHARMA-TRIGONOMETRIC EQUATIONS-Solved Examples And Exercises
  1. Write the number of points in intersection of the curves 2y=-1and y=co...

    Text Solution

    |

  2. Find the general solutions of the following equation: sintheta=(sqrt(3...

    Text Solution

    |

  3. Find the general solutions of the following equation: 2\ sin\ theta+1=...

    Text Solution

    |

  4. Find the general solutions of the following equation: cos e c\ theta=2

    Text Solution

    |

  5. Find the general solutions of the following equation: costheta=1/2

    Text Solution

    |

  6. Find the general solutions of the following equation: \ cos3theta=\ -1...

    Text Solution

    |

  7. Find the general solutions of the following equation: sqrt(3)sec2theta...

    Text Solution

    |

  8. Principal Solution of trigonometric equation: tantheta=1/(sqrt(3)) ar...

    Text Solution

    |

  9. Solve the following trigonometric equation: \ t a n2theta=sqrt(3)

    Text Solution

    |

  10. Solve the following trigonometric equation: tan3theta=-1

    Text Solution

    |

  11. Solve the following equation: sin2theta+costheta=0

    Text Solution

    |

  12. Solve the following equation: sin3theta+cos2theta=0

    Text Solution

    |

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

    Text Solution

    |

  14. Find the general solutions of the following equation: sintheta=1/2

    Text Solution

    |

  15. Find the general solutions of the following equation: cosx=-(sqrt(3))/...

    Text Solution

    |

  16. Find the general solutions of the following equation: cos e ctheta=\ -...

    Text Solution

    |

  17. Find the general solutions of the following equation: s e ctheta=sqrt(...

    Text Solution

    |

  18. Find the general solutions of the following equation: t a ntheta=\ -1/...

    Text Solution

    |

  19. Find the general solutions of the following equation: sqrt(3)sectheta=...

    Text Solution

    |

  20. Find the general solutions of the following equation: sin2theta=\ (sqr...

    Text Solution

    |