Demonstrate numerically the validity of the following expres

Demonstrate numerically the validity of the following expression using MATLAB.

Demonstrate numerically the validity of the following expression using MATLAB. sin (pi/17) = squareroot 2/8 Squareroot a^2 - Squareroot 2 (b + a) where a = Squareroot 17 - Squareroot 17 c = Squareroot 17 + Squareroot 17 b = Squareroot 34 + 6 Squareroot 17 + Squareroot 2 (Squareroot 17 - 1)a - 8c Squareroot 2

Solution

clear all;
close all;

a = sqrt(17-sqrt(17));
c = sqrt(17+sqrt(17));
b = sqrt(34+(6*sqrt(17))+(sqrt(2)*(sqrt(17)-1)*a)-(8*c*sqrt(2)));

y = (sqrt(2)/8)*(sqrt(a^2-sqrt(2)*(b+a)))
x = sin(pi/17)

if(x == y)
\'The given equaiton is Satisfied\'
else
\'The given equation id notsatisfied\'
end