Home
Class 12
MATHS
If 0 lt a lt 1, then log(a)(tan 1^(@))+l...

If `0 lt a lt 1`, then `log_(a)(tan 1^(@))+log_(a)(tan 2^(@))+… + log_(a)(tan 89^(@))` is equal to _______

Text Solution

Verified by Experts

The correct Answer is:
`0.00`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/JEE Main Papers|48 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 Single Correct Answer Type Questions)|30 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

log_(10)tan 1^(@)+log_(10)tan2^(@)+…..+log_(10)tan89^(@) is equal to :

log_(10) tan 1^(@) + log_(10) tan 2^(@) +....+ log_(10) tan 89^(@) =

Prove that : log_(10)tan1^(@)*log_(10)tan2^(@)...log_(10)tan89^(@)=0

If log_(10) tan 31^(@) . log_(10)tan 32^(@) ... log_(10)tan 60^(@) = log10a , then a = ______.

Find the value of log" " tan 1^(@) log" " tan 2^(@) … log" " tan 89^(@) .

sum_(r=1)^(89)log_(3)(tan r^(@)))

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (Numerical Answer Type Questions)
  1. Let theta=pi//5, then 4|cos theta cos (2 theta) cos(4 theta) cos (8 th...

    Text Solution

    |

  2. Let theta=pi//6, and a=(1+cos theta)(1+cos 2theta)(1+cos 4 theta) (1+c...

    Text Solution

    |

  3. If 0 lt a lt 1, then log(a)(tan 1^(@))+log(a)(tan 2^(@))+… + log(a)(ta...

    Text Solution

    |

  4. 4 sin((pi)/(18))sin((5pi)/(18))sin((7pi)/(18))=

    Text Solution

    |

  5. If cot (theta-alpha) cot(theta-beta)=cot^(2) theta, then 2(1+cot(2the...

    Text Solution

    |

  6. If alpha=(pi)/(28), and a=(sin alpha)/(cos(3alpha))+(sin (3alpha))/(c...

    Text Solution

    |

  7. Let alpha=pi//12 , and E=(1+cos alpha)(1+cos(3alpha))(1+cos(5alpha))(1...

    Text Solution

    |

  8. Suppose f(theta)=cos theta cos(2theta) cos(2^(2) theta)-cos(2^(n) t...

    Text Solution

    |

  9. For theta in R, let f(theta)=cos^(2)theta+cos^(2)(theta+pi//6)+sin...

    Text Solution

    |

  10. Let a(n)=sum(k=1)^(n)tan^(-1)((2^(k))/(2+4^(k))), then tan(a(oo)-a(2))...

    Text Solution

    |

  11. If (sin^(2)x)/(1+sin^(2)x)+(cos^(2)x)/(1+cos^(2)x)=2+(k)/(cos(4x)-17) ...

    Text Solution

    |

  12. (tan 10^(@)+tan 70^(@)-tan50^(@))^(2)= .

    Text Solution

    |

  13. tan^(6)((pi)/(9))-33 tan^(4)((pi)/(9))+27tan^(2)((pi)/(9))= .

    Text Solution

    |

  14. Let f(x)=cos^(2)((pi)/(4)+x)+(sinx-cosx)^(2), AA x in R then max(f(x))...

    Text Solution

    |

  15. Let M = the maximum value of (1)/(9 sin^(2)x+24 sin x cosx+19cos^(2...

    Text Solution

    |

  16. Let alpha=(1)/(8) sum(k=0)^(10)sec((7pi)/(12)+(kpi)/(2)) sec((7pi)/(12...

    Text Solution

    |

  17. Suppose for 0 lt x lt (pi)/(2), (sin(7x))/(sinx)=a cos(6x)+b cos(4x)+c...

    Text Solution

    |

  18. If x in [0, 2pi], then the number of solutions of sin^(5)x-cos^(5)x=(1...

    Text Solution

    |

  19. If x in [0, 2pi], then the number of solutions of sin^(3)x+cos^(3)x=1,...

    Text Solution

    |

  20. If x in [0, 2pi], then the number of solutions of 4-4(cosx-sin x)-sin2...

    Text Solution

    |