- #1
joanmanuelbl
- 3
- 0
Greetings my friends:
I have been reading a book about optimization and I found the following trigonometric equation:
tan(10x.pi)= - 10 pi x (this equation goes from x E [-1,2]
it is easy to see that has infinite solutions, but the author came to the conclusion that the solutions are:
xi=(2i-1)/20+Ei, for i=1,2,...
x0=0
xi=(2i+1)/20+Ei, for i=-1,-2,...
HOw does he get those probable solutions, please I really need to know... :yuck:
Thank you so much
JoanManuel
I have been reading a book about optimization and I found the following trigonometric equation:
tan(10x.pi)= - 10 pi x (this equation goes from x E [-1,2]
it is easy to see that has infinite solutions, but the author came to the conclusion that the solutions are:
xi=(2i-1)/20+Ei, for i=1,2,...
x0=0
xi=(2i+1)/20+Ei, for i=-1,-2,...
HOw does he get those probable solutions, please I really need to know... :yuck:
Thank you so much
JoanManuel