Home
Class 11
MATHS
Show that the value of the function (sin...

Show that the value of the function `(sinxcos3x)/(cosxsin3x)`, where ever defined never lies between (1/3) and 3

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

Find the integrals of the functions 1/(sinxcos^(3)x)

Integrate the functions ((x-3))/((x-1)^(3))

Show that the value of (cot 3x)/(cot x) cannot lie between (1)/(3) and 3.

Prove that for real values of x ,(a x^2+3x-4)//(3x-4x^2+a) may have any value provided a lies between 1 and 7.

The value of a for which the function f(x)=asinx+1/3sin3x has an extremum at x=pi/3 is

Show that the value of log_(10)2 lies between 1/3 and 1/4

Show that the function (x^(3)-3x^(2)+4x) increases with x.

Integrate the functions (x^(3)-1)^(1/3)x^(5)

Find: int(dx)/(sinxcos^3x)

Show that for all real values of x the value of (x^2-3x+4)/(x^2+3x+4) always lie between 1/7 and 7.

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If the circumcentre of DeltaABC lies on incircle then cosA+cosB+cosC=s...

    Text Solution

    |

  2. For all theta in [0,pi/2] show that cos(sintheta)gtsin(costheta)

    Text Solution

    |

  3. Show that the value of the function (sinxcos3x)/(cosxsin3x), where eve...

    Text Solution

    |

  4. if alpha+beta+gamma=2pi prove that cos^2alpha+cos^2beta+cos^2gamma-2co...

    Text Solution

    |

  5. If cosalpha+cosbeta=1/3 and sinalpha+sinbeta=1/4 prove that cos(alpha-...

    Text Solution

    |

  6. Find the value of t, where t in [-pi/2,pi/2] so that 2sint=(5x^2-2x+1...

    Text Solution

    |

  7. If exp{(sin^2 x+sin^4 x+sin^6 x+...)In2} satisfies the quadratic equat...

    Text Solution

    |

  8. If A+B+C=180^@ prove that: sin(B+2C)+sin(C+2A)+sin(A+2B)= 4 sin((B-C)/...

    Text Solution

    |

  9. Prove that (1+sec2theta)(1+sec2^2theta)(1+sec2^3theta)…..(1+sec2^nthet...

    Text Solution

    |

  10. If cot(2x/3)+tan(x/3)=cosec(kx)/3 then the value of k is

    Text Solution

    |

  11. যদি thetain(frac[pi][2],frac[3pi][2]) হয়, তবে sqrt(4cos^4theta+sin^2(2...

    Text Solution

    |

  12. Which one of the following statements is correct ?

    Text Solution

    |

  13. For x belongs to (o,pi) the equation sinx+2sin2x-sin3x=3 has

    Text Solution

    |

  14. Let fk(x)=1/k(sin^k x+cos^k x) Then f4(x)-f6(x) =

    Text Solution

    |

  15. The value of tan(pi/3)+2tan((2pi)/3)+4cot((4pi)/3)+8tan((8pi)/3) is

    Text Solution

    |

  16. The sum of the series underset(n=1)sum sin((nipi)/720) is

    Text Solution

    |

  17. The minimum value of 2^(sin x) + 2^(cos x) is

    Text Solution

    |

  18. cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)

    Text Solution

    |

  19. The expression tanA(1-cotA)+cotA/(1-tanA) can be written as

    Text Solution

    |

  20. For 0leP, Qle(pi/2)if sinP+cosQ=2 then the value of tan((P+Q)/2) is eq...

    Text Solution

    |