hello:

can somebody tell me the real world application of trinogometry,number theory

 

thanks for any tips.

Trigonometry has obvious applications in Engineering and the physical sciences in general - very useful for a variety of different things.

 

Number theory also has some obvious uses - cryptography being one. However, I'm quite struggling to come up with some non-obvious uses. I'll get back to you on that one

Number theory also has some obvious uses - cryptography being one.

Especially in public key encryption (RSA, PGP, etc.) which is extensively used for all kinds of monetary transactions over the internet, including banking, e-commerce or any time you type in a credit card number on your computer.

Very, very rarely, the optimal solution to a discrete operations (scheduling/transportation/discrete flow control/etc.) problem is the exact solution of a diophantine equation.

There are uses to number theory that happen in pure mathematics. For instance some algebraic proofs about the number of finite abelian groups of given order or something like this rely upon number theory proofs. Number theory does not gets its due respect these days but it still contains some of the most difficult problems anywhere, like Goldbach's Conjecture.

 

Show that even natural number greater four can be written as the sum of two odd primes.

 

Don't spend too much of your life trying, its been unsolved for well over 100 years.

 

Trig is really the genesis of six special functions and a host of derived functions, but its so strongly linked to geometry and therefore engineering that I think its usefulness is obvious. And there are boat loads of intersting trig identities to. There is a very intersting structure to how those six basic trig functions combine under addition and multiplication.