Home
Class 11
MATHS
The number of x in [0,2pi] for which s...

The number of `x in [0,2pi]` for which `sqrt(2sin^4 x+18cos^2 x)-sqrt(2cos^4 x+18sin^2 x)=1` is

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|136 Videos

Similar Questions

Explore conceptually related problems

The number of x in [0, 2pi] for which |sqrt(2"sin"^(4)x + 18"cos"^(2) x) -sqrt(2"cos"^(4)x + 18"sin"^(2)x)| = 1, is

Prove that sqrt(sin^4x+4cos^2x)-sqrt(cos^4x+4sin^2x)=cos2xdot

Find the value of x in [-pi,pi] for which f(x)=sqrt(log_(2)(4sin^(2)x-2sqrt(3)sin x-2sin x+sqrt(3)+1)) is defined.

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, 4 pi] satisfying the inequation |sqrt(3)"cos" x - "sin"x|ge2 , is

If x in[0,2 pi] for which 2cos x<=|sqrt(1+sin2x)-sqrt(1-sin2x)|<=sqrt(2) has solution set x in[(lambda pi)/(4),(mu pi)/(4)] then value of lambda+mu is

The number of solutions of the equation |2 sin x-sqrt(3)|^(2 cos^(2) x-3 cos x+1)=1 in [0, pi] is

For x in [0, (pi)/(2)] if int(tan x sqrt(sec x)(1+cos^(2)x))/(sqrt(cos x+sin^(2)x))dx=2sqrt(f(x)+1)+c and f((pi)/(3))=(3)/(2) then f((pi)/(4)) = (where[.] denotes I F)

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

ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. Solve : (log)((-x^2-6x)//10)(sin3x+sinx)=(log)(-x^2-6x)//10)(sin2x)

    Text Solution

    |

  2. The values of k for which the equation sin^4 x+cos^4 x+sin2x+k=0 posse...

    Text Solution

    |

  3. Find the least positive angle measured in degrees satisfy sin^3x +sin^...

    Text Solution

    |

  4. Solve for x,y:{sinxcosy=1/4 , 3tanx=tany

    Text Solution

    |

  5. The number of solutions of equation tanx+secx=2cosx lying in the inter...

    Text Solution

    |

  6. General solution of tan5theta=cot2theta is (npi)/7+pi/2^(\ ),\ n Z b....

    Text Solution

    |

  7. The number of values of x in the interval [0, 3pi] satisfying the equa...

    Text Solution

    |

  8. If 0ltxltpi and cosx + sinx =1/2 , then tanx is (1) ...

    Text Solution

    |

  9. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  10. The possible values of theta in (0,pi) such that sin (theta) + sin (4t...

    Text Solution

    |

  11. If 0 <= x < 2pi, then the number of real values of x, which satisfy th...

    Text Solution

    |

  12. The number of x in [0,2pi] for which sqrt(2sin^4 x+18cos^2 x)-sqrt(2...

    Text Solution

    |

  13. The number of integral values of k for which the equation 7cos x +5 s...

    Text Solution

    |

  14. cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [-pi...

    Text Solution

    |

  15. The value of theta in (0,2pi) for which 2sin^2theta-5sintheta+2>0 is (...

    Text Solution

    |

  16. The number of solutions of the pair of equations 2s in^2theta-cos2thet...

    Text Solution

    |

  17. The number of values of theta in the interval (-pi/2,pi/2) such that t...

    Text Solution

    |

  18. The positive integer value of n >3 satisfying the equation 1/(sin(pi/n...

    Text Solution

    |

  19. Let theta ,phi in [0,2pi] be such that 2 cos theta (1-sin phi)=sin^2 t...

    Text Solution

    |

  20. For x in (0,pi), the equation sinx+2s in x-sin3x=3 has infinitely many...

    Text Solution

    |