Problem 57512. Easy Sequences 89: Double Summation of a Trigonometric Product

• Created by Ramon Villamangca
• Appears in Divisible by x

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Given and angle A in radians and a positive integer x, evaluate the following product summation:

which 'directly' translates to Matlab as:

>> PS = @(A,x) sum(arrayfun(@(n) sum(arrayfun(@(m) prod(arrayfun(@(k) 2*sin(k*pi/m+A),0:m-1)),1:n)),1:x));

For example and :

>> x = 3; A = 1;

>> PS(A,x)

ans =

8.9683

Please present your answer rounded-off to nearest 4 decimal places.

Solve

Solution Stats

100.0% Correct | 0.0% Incorrect

• 1 Solutions
• 1 Solvers

Last Solution submitted on Jan 10, 2023

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