Home
Class 12
MATHS
Solve :(tanx-(1)/(sqrt3))(cosx-(1)/(2))l...

Solve `:(tanx-(1)/(sqrt3))(cosx-(1)/(2))le0.`

Text Solution

Verified by Experts

The correct Answer is:
`[unnpi+(pi)/(6),2nnpi+(pi)/(3)]uu(2nnpi+(pi)/(2),2nnpi+(7pi)/(6)]uu(2nnpi+3pi//2, 2nnpi+(5pi)/(3)]`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

In each of the following , find the general value of x satisfying the equation : (i) sinx=(1)/(sqrt(2)) (ii) cosx =(1)/(2) (iii) tanx=(1)/(sqrt(3))

Solve (1/(sqrt3+sqrt2))+(1/(sqrt3-sqrt2))

Solve: x^(2)-(sqrt(3)+1)x+sqrt(3)=0

Solve: sinx-cosx=-sqrt2

Prove 1/(secx-tanx)-1/(cosx)=1/(cosx)-1/(secx+tanx)

Solve |3x-2| le (1)/(2) .

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

Solve: sinx+cosx=(sqrt3+1)/4

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

RESONANCE-DPP-QUESTION
  1. The arithmetic mean of the nine number in the given set {9,99,999, ......

    Text Solution

    |

  2. If a, b and c are in AP and if the equations (b-c)x^2 + (c -a)x+(a-b)=...

    Text Solution

    |

  3. Solve :(tanx-(1)/(sqrt3))(cosx-(1)/(2))le0.

    Text Solution

    |

  4. Find the least positive x in degree for which tan x= (cos5^(@)cos20^...

    Text Solution

    |

  5. Find the exact value of cosec"10"^(@)+"cosec"50^(@)-"cosec"70^(@)

    Text Solution

    |

  6. Suppose alpha, beta, gammaand delta are the interior angles of regula...

    Text Solution

    |

  7. If y=1costheta+2cos2theta+3cos3theta++99 cos 99theta , the maximum val...

    Text Solution

    |

  8. Let alpha,beta,gamma and delta are four positive real numbers such tha...

    Text Solution

    |

  9. If the sum of the series S=1+5/11+12/((11)^2)+22/((11)^3)+35/((11)^4)+...

    Text Solution

    |

  10. Let [x] denote the greatest integer part of a real number x, if M sum(...

    Text Solution

    |

  11. Then sum sum(r=1)^(50) r.(2^(r)+2^(50-r)) equals

    Text Solution

    |

  12. lf abcd=1 where a,b,c,d are positive reals then the minimum value of ...

    Text Solution

    |

  13. Solve for x:log(2)(sin""(x)/(2))lt-1

    Text Solution

    |

  14. Suppose that P(x) is a quadratic polynomial such that P(0)=cos^3 40^@,...

    Text Solution

    |

  15. Let y=ax^2+ bx + c be a quadratic expression having its vertex at (3,-...

    Text Solution

    |

  16. Let y=ax^(2)+bx+c be a quadratic expression have its vertex at (3-2) a...

    Text Solution

    |

  17. Through the centriod of an equilateral triangle a line parallel to the...

    Text Solution

    |

  18. Let 'X' denotes the value of the product.(1+a+a^2+a^3+.........oo)(1+b...

    Text Solution

    |

  19. 50th term of the sequence 3+12+25+42+ is 5145 b. 5148 c. 5142 d. 5195

    Text Solution

    |

  20. Consider two quadratic expression f(x)=ax^(2)+bx+c and g(x)=ax^(2)+px+...

    Text Solution

    |