Home
Class 11
MATHS
Find the values of alpha lying between 0...

Find the values of `alpha` lying between 0 and `pi` for which the inequality : `tan alpha> tan^3 alpha` is valid.

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

Find the values of alpha lying between 0 and pi for which of the inequality: tanalpha gt tan^(3) alpha is valid.

For what and only what values of alpha lying between 0 and pi/2 is the inequality is sin alphacos^(3)alpha ltsin^(3) alpha cos alpha valid?

If alpha, beta are two values lying between 0 and 2pi for which tan theta = k then the value of frac{tan alpha}{2} *frac{tan beta}{2} is....

If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) , where alpha lie between 0 and (pi)/(4) , then find that value of tan2alpha .

If n is an integer,prove that tan(n pi+alpha)=tan alpha

" If alpha=(2 pi)/(7) ,then the value of tan alpha tan2 alpha+tan2 alpha tan4 alpha+tan4 alpha tan alpha is "

If tan alpha = sqrt3+2 , then the value of tan alpha - cot alpha is

If alpha and beta are two different solutions lying between -(pi)/(2) and (pi)/(2) of the equation 2tan theta+sec theta=2 then tan alpha+tan beta is

If tan alpha = sqrt2 + 1 , the value of tan alpha- cot alpha is:

If tan alpha= sqrt2-1 then the value of tan alpha-cot alpha = ?

ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. Find the solution set of the inequality sinx > 1/2.

    Text Solution

    |

  2. Find the value of x in the interval [-pi/2,(3pi)/2\ ] for which sqrt(2...

    Text Solution

    |

  3. Find the values of alpha lying between 0 and pi for which the inequa...

    Text Solution

    |

  4. Solve the following equation : tan^2theta+sec^2theta+3-2(sqrt(2)sec...

    Text Solution

    |

  5. Find the solution set of equation 5^((1+log5cosx))=5/2

    Text Solution

    |

  6. If the set of all values of x in (-pi/2,pi/2) satisfying |4sinx+sqr...

    Text Solution

    |

  7. Find the values of x in the interval [0,\ 2pi] which satisfy the inequ...

    Text Solution

    |

  8. Find the values of theta , for which cos3theta+sin3theta+(2sin2theta-3...

    Text Solution

    |

  9. The number of values of x in the in interval [0,5pi] satisfying the eq...

    Text Solution

    |

  10. The number of solutions of the equation (secx)/(1-cosx)=1/(1-cosx) ...

    Text Solution

    |

  11. The number of solutions of equation 2+7tan^2theta=3. 25sec^2theta(0...

    Text Solution

    |

  12. the number of solution of the equation tan^2x-sec^(10)x+1=0 in (0,10) ...

    Text Solution

    |

  13. If (costheta+cos2theta)^3=cos^3theta+cos^3 2theta, then the least p...

    Text Solution

    |

  14. The number of solution(s) of sin2x+cos4x=2 in the interval (0,\ 2pi...

    Text Solution

    |

  15. The complete solution of the equation 7cos^2x+sinxcosx-3=0 is given by...

    Text Solution

    |

  16. If cos(sinx)=0, then x lies in (a) (pi/4,pi/2)uu(pi/2,\ pi) (b) (-pi/4...

    Text Solution

    |

  17. If 0lt=alpha,betalt=90^@ and tan(alpha+beta)=3 and tan(alpha-beta)=2 t...

    Text Solution

    |

  18. If tanA\ "and" \ tanB are the roots of x^2-2x-1=0, then sin^2(A+B) is ...

    Text Solution

    |

  19. If cos2x-3cosx+1=(cos e c\ x)/(cotx-cot2x),\ then which of the foll...

    Text Solution

    |

  20. The solutions of the equation sinx+2sin2x+sin3x=cosx+3cos2x+cos3x in t...

    Text Solution

    |