Home
Class 12
MATHS
Show that the value of tan (theta+(pi)/(...

Show that the value of `tan (theta+(pi)/(6)) cot( theta-(pi)/(6))` cannot lie between `(2+sqrt(3))^(2) and (2-sqrt(3))^(2)`.

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

sqrt(3)tantheta tan(theta + pi/3) tan(theta + (2pi)/3) =1

tantheta + tan(pi/3 + theta) +tan((2pi)/3 + theta)=3

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

The value of theta ( 0 lt theta lt (pi)/(2)) for which cos theta sin (theta - (pi)/(6)) is maximum is-

Prove that, tan theta tan (pi/3 + theta)tan (pi/3 - theta) = tan 3 theta

find the value of k which satisfy tan theta +tan(theta+pi/3)+tan (theta-pi/3)=ktan 3 theta

costheta - sintheta = 1/sqrt(2) (-pi lt theta lt pi)

cot ^(2) "" (pi)/(6) + cosec ""(5pi)/(6) + 3 tan ^(2) ""(pi)/(6) =6

Prove that the value of (sin^(3) (2pi - theta))/(cos^2 ((3pi)/2 + theta)) cdot (cos^3(2pi - theta))/(sin^3(2pi + theta)) cdot (tan(pi - theta))/("cosec"^2(pi - theta)) cdot ("sec"^2(pi + theta))/(sin theta) . Is independent of theta .

If theta=pi/(4n) then the value of tanthetatan(2theta)tan(3theta)....tan((2n-1)theta) is

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. Prove that cos^(2)40^(@)cos^(2)80^(@)+cos^(2)80^(@)cos^(2)20^(@)+cos^(...

    Text Solution

    |

  2. If x+a= a(2 cos theta-cos 2 theta) and y= a(2 sin theta- sin 2 theta),...

    Text Solution

    |

  3. Show that the value of tan (theta+(pi)/(6)) cot( theta-(pi)/(6)) canno...

    Text Solution

    |

  4. In a triangle of base a, the ratio of the other two sides is r (lt 1)....

    Text Solution

    |

  5. In an acute angled triangle ABC, prove that tan^(2)a+tan^(2)B+tan^(2) ...

    Text Solution

    |

  6. Given sin alpha+ cos alpha+tan alpha+ cot alpha+ sec alpha=7, find th...

    Text Solution

    |

  7. If tan theta= sqrt((a-b)/(a+b))"tan"(A)/(2) and cos varphi =(b+ a cos ...

    Text Solution

    |

  8. Solve : sqrt(tan alphax+ sin x)+ sqrt(tan x-sinx)=2 cos sqrt(tanx)

    Text Solution

    |

  9. Determine the smallest positive value of x ( in degrees for which) ...

    Text Solution

    |

  10. Find the value of "sin"(pi)/(18)"sin" (5pi)/(18)"sin"(7pi)/(18)

    Text Solution

    |

  11. If tan alpha=(x)/(y), then show that x "cosec" (alpha)/(3)- y "sec" ...

    Text Solution

    |

  12. In triangle ABC if A=60^(@), show that cos^(2)B+ cos^(2)C+ cos B cosC...

    Text Solution

    |

  13. If sin x+ sin (x+y) sin (x+y+z)=0 and cos x+ cos (x+y)+cos (x+y+x)=0. ...

    Text Solution

    |

  14. If tan^(2)z= tan (x+y) tan (x-y), show that cot^(2)y+ cot (z+x) cot (z...

    Text Solution

    |

  15. If cos alpha, sin alpha and cot alpha are in G.P. show that tan^(6)alp...

    Text Solution

    |

  16. Solve: 4[ sin^(4) theta+ sin^(4)(theta+(pi)/(4)) + sin^(4) (theta-(p...

    Text Solution

    |

  17. Solve: tan^(2) theta+ sec 2 theta=1

    Text Solution

    |

  18. Solve : e^(sin x+sqrt(3) cosx-1)=1 (-2pi lt x lt 2pi)

    Text Solution

    |

  19. Solve : 3^(sin 2x+2cos^(2)x)+3^(1- sin2x+2sin^(2)x)=28

    Text Solution

    |

  20. If x+y+z = n pi(n=0, +- 1,+-2,...)and (cos (y+z))/(cosx)+(cos(x+y))/(c...

    Text Solution

    |