Home
Class 12
MATHS
The maximum value of : (cosalpha(1)).(co...

The maximum value of : `(cosalpha_(1)).(cosalpha_(2))....(cosalpha_(n))` under the restrictions :`0lt=alpha_(1),a_(2),......,alpha_(n)lt=pi/2` and `(cotalpha_(1))(cotalpha_(2)).....(cotalpha_(n)) = 1` is :

A

`1/2^(n//2)`

B

`1/2^(n)`

C

`1/(2n)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUSTIONS FROM AIEEE/JEE EXAMINATIONS|8 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos

  • UNIT TEST PAPER NO - 4

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos

Similar Questions

Explore conceptually related problems

If 1, alpha_(1), alpha_(2), …., alpha_(n-1) are the n^(text (th ) roots of unity and n is odd natural number, then (1+alpha_(1))(1+alpha_(2)) ... . .(1+alpha_(n-1))=

The maximum value of n lt 101 such that 1+sum_(k=1)^(n)i^(k)=0 is

If alpha_(0),alpha_(1),alpha_(2),...,alpha_(n-1) are the n, nth roots of the unity , then find the value of sum_(i=0)^(n-1)(alpha_(i))/(2-alpha_(i)).

If (sin alpha)^(x)+(cos alpha)^(x) ge 1,0 lt a lt (pi)/(2) then

If 1, a_(1), a_(2). ..., a_(n-1) are n roots of unity, then the value of (1 - a_(1)) (1 - a_(2)) .... (1 - a_(n-1)) is :

If 1+cos alpha+cos ^(2) alpha+….=2-sqrt(2) , thet alpha(0 lt alpha lt pi) is

Find the integrals of the functions (cos2x-cos2alpha)/(cosx-cosalpha)

If a_(1),a_(2),a_(3),".....",a_(n) are in HP, than prove that a_(1)a_(2)+a_(2)a_(3)+a_(3)a_(4)+"....."+a_(n-1)a_(n)=(n-1)a_(1)a_(n)

If A=|(1+cosalpha,1+sinalpha,1),(1+cosbeta,1+sinbeta,1),(1,1,1)|ne0 , then :

If alpha is an imaginary root of the equation z^(n)-1=0 then 1+alpha+alpha^(2)+….. .+alpha^(n-1)=

MODERN PUBLICATION-TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS-MULTIPLE CHOICE QUESTION(LEVEL-II)
  1. If 1/6 sin theta,cos theta and tan theta are in G.P., then the general...

    Text Solution

    |

  2. The most general values of x for which sinx + cosx = underset (a in R)...

    Text Solution

    |

  3. Let [x] = the greatest integer less than or equal to x and let f(x) = ...

    Text Solution

    |

  4. The number of all possible 5-tuples alpha, alpha(2), alpha(3), alpha(4...

    Text Solution

    |

  5. The solution of |cosx| = cosx - 2sinx is :

    Text Solution

    |

  6. The equation 8cosx cos2x cos4x = (sin6x)/(sinx) has a solution given b...

    Text Solution

    |

  7. The value of theta lying in (0,pi/2) and satisfying : |(1 + sin^(2)th...

    Text Solution

    |

  8. If x + y + z = pi,tanx tany = 2tanx + tany + tanz = 6, thenz equals :

    Text Solution

    |

  9. Let f(theta) =sin theta(sin theta + sin3theta) then f(theta) :

    Text Solution

    |

  10. The number of integer values of k for which the equation 7cosx + 5sinx...

    Text Solution

    |

  11. If u = sqrt(a^(2) cos^(2)theta + b^(2) sin^(2)theta) + sqrt(a^(2) sin^...

    Text Solution

    |

  12. Let alpha, beta be such that pi lt=alpha lt=beta lt=3piif sinalpha + s...

    Text Solution

    |

  13. If 0ltxltpi and cosx + sinx = 1//2, then tanx is :

    Text Solution

    |

  14. The number of solutions of the equation cos (pisqrt(x - 4))cos[pisqrt(...

    Text Solution

    |

  15. The maximum value of : (cosalpha(1)).(cosalpha(2))....(cosalpha(n)) un...

    Text Solution

    |

  16. If 0ltthetalt2pi, then the intervals of values of theta for which 2sin...

    Text Solution

    |

  17. Let theta in (0,pi/4) and t(1) = (tan theta)^(tantheta) and t(2) = (ta...

    Text Solution

    |

  18. The number of solutions of the paires of equations : 2sin^(2)theta - c...

    Text Solution

    |

  19. Let A and B denote the statement : A : cosalpha + cosbeta + cosgamma =...

    Text Solution

    |

  20. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1)) ...

    Text Solution

    |