Home
Class 12
MATHS
For x in (-pi, pi) find the value of x f...

For `x in (-pi, pi)` find the value of x for which the given equation `(sqrt 3 sin x + cos x)^(sqrt(sqrt3 sin 2 x-cos 2 x+2))=4` is satisfied.

Text Solution

Verified by Experts

The correct Answer is:
`x=(pi)/(3)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

For x in(-pi,pi) find the value of x for which the given equation (sqrt(3)sin x+cos x)^(sqrt(sqrt(3)sin2x-cos2x+2))=4 is satisfied.

The number of values of x in (0, pi) satisfying the equation (sqrt(3) "sin" x + "cos" x) ^(sqrt(sqrt(3)"sin" 2x -"cos" 2x+ 2)) = 4 , is

The general value of x satisfying the equation sqrt(3)sin x+cos x sqrt(3) is given by

Find the value of x for which f(x)=sqrt(sin x-cos x) is defined,x in[0,2 pi)

Solve the equation sqrt(3)cos x+sin x=sqrt(2)

Find the number of solution of the equation sqrt(cos 2x+2)=(sin x + cos x) in [0, pi] .

int_(pi/6)^(pi/3) (sin x+ cos x)/(sqrt(sin 2x))dx

The value of x in (0,(pi)/(2)) satisfying the equation,(sqrt(3)-1)/(sin x)+(sqrt(3)+1)/(cos x)=4sqrt(2) is

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Subjective Type Questions)
  1. Find the number of solution of the equations |cos x |=[x], (where ...

    Text Solution

    |

  2. Find the number of solution of the equations x+ 2 tan x =(pi)/(2),...

    Text Solution

    |

  3. The equation sin^4 x + cos^4 x + sin2x + alpha = 0 is solvable for

    Text Solution

    |

  4. If 32tan^3theta=2cos^2alpha-3 cosalpha and 3cos2theta =1 then the gene...

    Text Solution

    |

  5. Solve the following system of simultaneous equation for xa n dydot 4^...

    Text Solution

    |

  6. Find all number x , y that satisfy the equation (sin^2 x +(1)/( sin^(...

    Text Solution

    |

  7. Find all the solution of x,y in the equation 4(3sqrt(4x-x^(2))sin^(2...

    Text Solution

    |

  8. Solve for x and y , 1-2x-x^(2)=tan^(2)(x+y)+cot^(2)(x+y).

    Text Solution

    |

  9. Solve the system of equations tan^2 x + cot^(2) x = 2cos^(2)y co...

    Text Solution

    |

  10. Find all the pairs of x,y that satisfy the equation cosx+cosy+cos(x+y)...

    Text Solution

    |

  11. Solve the equation cot((theta )/(2))-"cosec"((theta)/2)=cot theta

    Text Solution

    |

  12. Find the general solution of 1+sin^3x + cos^(3)x=(3)/(2)sin 2x

    Text Solution

    |

  13. Solve log((sin x))2log((sin^(2)x))a=-1 stating any condition on a' tha...

    Text Solution

    |

  14. Cosider the equation int(0)^(x) (t^(2)-8t+13)dt= x sin (a//x) If x t...

    Text Solution

    |

  15. If tanx=b/a, find the value of (acos2x+bsin2x).

    Text Solution

    |

  16. Find all number of pairs x,y that satisfy the equation tan^4) x + tan^...

    Text Solution

    |

  17. Determine all value of 'a' for which the equation cos^(4) x-(a+2) cos...

    Text Solution

    |

  18. For x in (-pi, pi) find the value of x for which the given equation (s...

    Text Solution

    |

  19. Show that the equation , sec theta + "cosec" theta = c has two roots...

    Text Solution

    |

  20. Solve the equation for x and y , |sin x + cos x|^( sin^(2) x-1//4)=1+|...

    Text Solution

    |