Home
Class 12
MATHS
Find the general solutions of the follow...

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

Text Solution

Verified by Experts

(a) `theta = 2npi +- (5pi)/6, n int Z`
(b) `theta = npi-pi/6, n int Z`
( c) `theta=npi, n int Z`
(d) `(npi)/4` or `(2m+1)pi/10, n , m int Z`
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment section-A (Objective Type Questions (One option is correct))|49 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Find the general solutions of the following equation: cos3theta=1/2

Find the general solutions of the following equation: sin2theta=\ (sqrt(3))/2

Find the general solutions of the following equation: cosec\ theta=2

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

Find the general solutions of the following equation: s e ctheta=sqrt(2)

Find the general solutions of the following equation: cos e ctheta=\ -sqrt(2)

Find the general solutions of the following equation: t a ntheta=\ -1/(sqrt(3))

Find the general solutions of the following equation: \ cos3theta=\ -1/2

Find the general solutions of the following equation: sin9theta=sintheta

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

AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Try Yourself
  1. Computer sin 75^(@) , cos 75^(@) and tan 15 ^(@), from the functions o...

    Text Solution

    |

  2. Prove that:(tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2

    Text Solution

    |

  3. Prove that tan8theta - tan6theta - tan2theta= tan8theta tan6theta ta...

    Text Solution

    |

  4. i) If A+B=pi/4 prove that: (cotA-1)(cotB-1)=2 ii) If tan(picosthet...

    Text Solution

    |

  5. Prove that : cos 20^0cos 40^0cos 60^0cos 80^0=1/(16)

    Text Solution

    |

  6. Prove that sin20^(@)sin40^(@)sin80^(@)=(sqrt(3))/(8)

    Text Solution

    |

  7. Prove that : (sinA+sin3A)/(cosA+cos3A)=tan2A

    Text Solution

    |

  8. cos((3pi)/(4)+x)-cos((3pi)/(4)-x) = -sqrt(2)sinx

    Text Solution

    |

  9. Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin ...

    Text Solution

    |

  10. Prove that : cos4x=1-8sin^2xcos^2x

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. Find the general values of theta which satisfies the equation tan th...

    Text Solution

    |

  13. Find the general solutions of the following equation: cos theta=-(sqrt...

    Text Solution

    |

  14. In triangleABC, AB=10cm, angleA=45^(@) and angleC=60^(@). Find BC.

    Text Solution

    |

  15. In any triangle, prove that bcosB + c cosC= a cos(B-C).

    Text Solution

    |

  16. In any triangleABC, prove that (sqrt(sinA)-sqrt(sinB))/(sqrt(sinA) + s...

    Text Solution

    |

  17. If the sides of DeltaABC in the ratio 4 : 5 : 6, prove that one angle ...

    Text Solution

    |

  18. यदि triangleABC में (If इन triangleABC), a = (1)/(sqrt(6)-sqrt(2)), b ...

    Text Solution

    |

  19. In any A B C , prove that: 2(b ccosA+c acosB+a bcosC)=a^2+b^2+c^2

    Text Solution

    |

  20. In a A B C , if cosC=(sinA)/(2sinB) , prove that the triangle is isos...

    Text Solution

    |