Home
Class 12
MATHS
If h(x)=log(10)x, then the value of sum(...

If `h(x)=log_(10)x,` then the value of `sum_(n=1)^(89) h"("tan^(Omega)")"=`

A

1

B

0

C

`-1`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

Find the value of sum _(r=1)^(89) "log"_(10) "cot" (pir)/(180)

Let f (theta)=(1)/(1+(tan theta)^(2021)) , then the value of sum_(theta=1^(@))^(89^(@))f(theta) is equal to

The value of sum_(r=1)^(89)log_(10)(tan((pir)/180)) is equal to

If x^2-x+1=0 then the value of sum_[n=1]^[5][x^n+1/x^n]^2 is:

sum_(i=1)^(2n) sin^(-1)(x_i)=npi then the value of sum_(i=1)^n cos^(-1)x_i+sum_(i=1)^n tan^(-1)x_i= (A) (npi)/4 (B) (2/3)npi (C) (5/4)npi (D) 2npi

If x=prod_(n=1)^(2000)n, then the value of the expression, (1)/((1)/(log_(2)x)+(1)/(log_(3)x)+.........+(1)/(log_(2000)x))is..........

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

If n=1999! then sum_(x=1)^(1999) log_n x=

If the roots of the equation x^(3) -10 x + 11 = 0 are u, v, and w, then the value of 3 cosec^(2) (tan^(-1) u + tan^(-1) v + tan^(-1 w) is ____

The value of tan(1 ^∘)+tan(89 ^∘ ) is ____

RESONANCE ENGLISH-DPP-QUESTION
  1. If a, b, c are real numbers satisfying the condition a+b+c=0 then the ...

    Text Solution

    |

  2. The quadratic equation whose roots are sec^(2)alphaand "cosec"^(2)alph...

    Text Solution

    |

  3. If h(x)=log(10)x, then the value of sum(n=1)^(89) h"("tan^(Omega)")"=

    Text Solution

    |

  4. Let f(n)=prod(r=1)^(n) sin(r), where r is in radians, then

    Text Solution

    |

  5. If a,b epsilon R and ax^(2)+bx+6=0 does not have two distinct real roo...

    Text Solution

    |

  6. Find the set of values of 'a', for which the expression y=(ax^2+6x-8...

    Text Solution

    |

  7. If every pair from among the equations x^2+px+qr=0,x^2+qx+rp=0 and x...

    Text Solution

    |

  8. Find a and b so that x^3+ax^2+11x+6 and x^3+bx^2+14x+8 may have one co...

    Text Solution

    |

  9. If alpha , beta are the roots of the quadratic equation (p^2 + p +...

    Text Solution

    |

  10. The roots alpha and beta of a quadratic equation are the square of two...

    Text Solution

    |

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

    Text Solution

    |

  12. If 2cos^2(pi+x)+3 sin(pi+x) vanishes then the values of x lying in the...

    Text Solution

    |

  13. ax^2+2bx-3c=0 has no real root and a+bgt3c/4 then

    Text Solution

    |

  14. The value of x satisfying the equation cos(lnx)=0, is (A) e^(pi//2) (...

    Text Solution

    |

  15. The value of the expression ((sin3theta)/sin theta)^2-((cos3theta)/cos...

    Text Solution

    |

  16. Find the smallest positive integral values of a for which the greater ...

    Text Solution

    |

  17. The set of values of 'c' for which the equation x^(2)-4x-c-sqrt(8x^(2)...

    Text Solution

    |

  18. Let the equations x^(3)+2x^(2)+px+q=0and x^(3)+x^(2)+px+r=0 have two t...

    Text Solution

    |

  19. If lta(n)gtandltb(n)gt be two sequences given by a(n)=(x)^((1)/(2^(n))...

    Text Solution

    |

  20. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

    Text Solution

    |