sophism

Math sophism on Pythagorean theorem

Good way to keep an idiot busy for a couple of hours.

cos2x + sin2x = 1 is the trigonometric form of the Pythagorean theorem

cos2x + sin2x = 1
cos2x = 1 – sin2x
cos x = (1 – sin2x)1/2
1 + cos x = 1 + (1 – sin2x)1/2
(1 + cos x)2 = (1 + (1 – sin2x)1/2)2
for x = π (pi = 3,14159265…), we have,
(1 – 1)2 = (1 + (1 – 0)1/2)2
0 = (1 + 1)2
0 = 4 //interesting ?!