Home
Class 12
MATHS
If 2 cos x lt sqrt(3) and x in [-pi, pi...

If ` 2 cos x lt sqrt(3) and x in [-pi, pi]` , then find the solution set for x .

A

`[-pi , -(pi)/(6) ) uu ( pi/6, pi]`

B

`( - pi/6 , pi/6)`

C

`[-pi, - pi/6 ] uu [ pi/6, pi]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|20 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos

Similar Questions

Explore conceptually related problems

If cos x- sin x ge 1 and 0 le x le 2pi , then find the solution set for x .

if cos x= (-sqrt(15))/(4) " and " (pi)/(2) lt x lt pi find the value of sin x .

Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"for",-(pi)/(2) lt x lt (pi)/(2)),(cos x,"for",(pi)/(2) le x le pi):} . If f is continuous on [-pi, pi) , then find the values of a and b .

Let the solution set of the inequation n(sinx-1/2)(sinx-1/(sqrt(2)))lt=0 in [pi/2,pi] be A and let solution set of equation sin^-1(3x-4x^3)=3sin^-1x be B. Now define a function f:A->B.

Let the solution set of the inequation n(sinx-1/2)(sinx-1/(sqrt(2)))lt=0 in [pi/2,pi] be A and let solution set of equation sin^-1(3x-4x^3)=3sin^-1x be B. Now define a function f:A->B.

Let the solution set of the inequation n(sinx-1/2)(sinx-1/(sqrt(2)))lt=0 in [pi/2,pi] be A and let solution set of equation sin^-1(3x-4x^3)=3sin^-1x be B. Now define a function f:A->B.

If tan x = -(4)/(3), (pi)/(2) lt x lt pi , then find the value of sin(x/2), cos(x/2) and tan(x/2) .

The set of values of x in (-pi, pi) satisfying the inequation |4"sin" x-1| lt sqrt(5) , is

If ln2pi ltlog_2 (2+sqrt3)lt ln3pi , then number of roots the equation 4cos(e^x)=2^x" + 2^(-x)

If 0 lt x lt pi/4 and cos x+sin x=5/4 , find the numerical value of (4(cos x- sin x))/sqrt(7) , is

VMC MODULES ENGLISH-TRIGONOMETRIC IDENTITIES AND EQUATIONS -LEVEL -2
  1. If x y+y z+x z=1,then prove that x/(1-x^2)+y/(1-y^2)+z/(1-z^2)=(4x y...

    Text Solution

    |

  2. If y+cosx = sinx has a real solution , then :

    Text Solution

    |

  3. If 2 cos x lt sqrt(3) and x in [-pi, pi] , then find the solution set...

    Text Solution

    |

  4. Sum of the roots of the equation x^2+7x+10=0

    Text Solution

    |

  5. Prove that: (cos6theta+6cos4theta+15 cos2theta+10)/(cos5theta+5cos3the...

    Text Solution

    |

  6. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

    Text Solution

    |

  7. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

    Text Solution

    |

  8. The number of real solution of the equation. sin(e^(x))=5^(x)+5^(-x) ...

    Text Solution

    |

  9. Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured ...

    Text Solution

    |

  10. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

    Text Solution

    |

  11. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

    Text Solution

    |

  12. The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a...

    Text Solution

    |

  13. The solution of equation sin^(50)x-cos^(50)x=1 can be (n in I)

    Text Solution

    |

  14. (sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2th...

    Text Solution

    |

  15. In interval [-(pi)/(2),(pi)/(2)], the equation log(sin theta )( cos^(...

    Text Solution

    |

  16. Prove tanx+ tany+ tanz=tan xtany tanz if x+y+z = pi

    Text Solution

    |

  17. If F(x) = sinx+cosx, then the most general solution of F(x) = [F((pi)/...

    Text Solution

    |

  18. If max {5 sin theta + 3 sin ( theta - alpha )}=7 , then the set of pos...

    Text Solution

    |

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

    Text Solution

    |

  20. The value sum(r=0)^(7)tan^(2)""(pix)/(16) is equal to :

    Text Solution

    |