Question

The maximum value of (cos α1) (cos α2) …(cos αn) under the restriction 0 ≤ α1, α1,…., α1 ≤ π/2 and (cos α1) (cos α2) …

(cos αn) = 1 is

Solution

Correct option is

From the given relation we have

                

      

 

       

     

So the maximum value of the given expression is 

SIMILAR QUESTIONS

Q1

 

value of α is

Q2

  

      

Q3

If 0 < A < π/2 the value of the expression

   

Q4

The value of the expression 

Q5

Let f (θ) = sin θ (sin θ + sin 3θ), then f (θ)

Q7

If αβ are positive acute angles and  then tan α = k tanβ such that

Q8
Q10

The number of integral values of k for which the equation 7 cos x + 5 sin x = 2k + 1 has a solution is