#To verify orthogonality of sine and cosine functions
#Principle: Create two vctors X and Y using the values of sine
#and cosine for the same angle within relevant range.
#Show that sum of products xi.yi=0'
import Numeric, math
sum=0
for i in range(180):
theta=math.pi*i/180
x=math.cos(theta)
y=math.sin(theta)
sum+=x*y
print "The sum of products xi.yi=%e is negligible. Hence orthogonal in the range (0-180)degrees"%sum
by Prof. Purushothaman Vadakkedam
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