so I got a trouble wrong on my homework because I simplified $cos (x) imes cos (y)$ to be $cos (xy)$, and also my teacher created on my paper that the can"t it is in simplified. I was wondering if anyone could give me one explanation as to why girlfriend can"t simplify those two.


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It is depends what you mean by saying simplify...Sometimes it can be beneficial to use this identity:$cos(x) cos(y) = frac12 left< cos(x+y) + cos(x-y) ight>$Usually girlfriend can change trigonometric role multiplication to sum or backwards.

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Multiplication of any type of two attributes with various variables cannot be simplified into one function of one variable. This kind of leveling is very rare:

(1) $f(x)f(y)=g(xy)$

Examples of duty that fulfill (1) is $f(x)=ax$ or $f(x)=ax^n$.Other role that fulfill (1) most likely esoteric...


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