Home
Class 11
MATHS
The maximum value of ( cos alpha1) ( cos...

The maximum value of `( cos alpha_1) ( cos alpha_2) … ( cos alpha_n)` under the restrictions `0 le alpha_1, alpha_2 ....... alpha_n le (pi)/(2) and cot alpha_1. cot alpha_2 ……cot alpha_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

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) LEVEL-I(MAIN) (Extreme values) Matrix matching type questions|2 Videos

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) LEVEL-I(MAIN) (Extreme values) Integer answer type questions|5 Videos

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) LEVEL-I(MAIN) (Extreme values) Single answer type questions|24 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos

  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)|31 Videos

Similar Questions

Explore conceptually related problems

If cot^3alpha +cot ^2 alpha + cot alpha =1 then

(1)/(sec alpha - tan alpha ) - (1)/( cos alpha)=

(sin 5 alpha-sin3alpha)/(cos 5 alpha+2 cos 4 alpha+cos 3alpha)=

tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

sin^(2) alpha * tan alpha + cos^(2) alpha * cot alpha + 2 sin alpha cos alpha =

tan alpha+ 2 tan 2 alpha+ 4 tan4 alpha+8 cot 8 alpha=

If alpha_1 , alpha_2 ,……….,alpha_n are the roots of x^n + px + q = 0 , then (alpha_n - alpha_1) (alpha_n - alpha_2) ………(alpha_n - alpha_(n-1) ) =

If x=a ( " cosec " alpha + cot alpha) and y=(b(1- cos alpha))/(sin alpha ) , then

If 1,alpha_1,alpha_2,…..alpha_(n-1) are the n^(th) roots of unity then (1-alpha_1)(1-alpha_2)…..(1-alpha_(n-1))=

AAKASH SERIES-PERIODICITY AND EXTEME VALUES-LECTURE SHEET (EXERCISE) LEVEL-II (ADVANCED) More than one correct answer type questions
  1. The maximum value of ( cos alpha1) ( cos alpha2) … ( cos alphan) under...

    Text Solution

    |