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 2 years ago
in fourier series cos(npi) is (1)^n and sin(npi)=0,
what is cos(npi/2) and sin(npi/2)?
and when the answer is 0 when n is odd i change n into 2n, while if answer is 0 when n is even i change n into 2n1.
do i apply the same thing for npi/2?
 2 years ago
in fourier series cos(npi) is (1)^n and sin(npi)=0, what is cos(npi/2) and sin(npi/2)? and when the answer is 0 when n is odd i change n into 2n, while if answer is 0 when n is even i change n into 2n1. do i apply the same thing for npi/2?

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edr1c
 2 years ago
Best ResponseYou've already chosen the best response.0im always stucked here when im doing the cosine and sine series in the PDE, especially when its stepfunction with pi as interval.

Herp_Derp
 2 years ago
Best ResponseYou've already chosen the best response.2\[\cos(\pi/2n) = \begin{cases} (1)^{n/2} &\;\;\;\;\;\;\text{if }n\text{ is even}\\ 0 &\;\;\;\;\;\;\text{if }n\text{ is odd} \end{cases}\]\[\sin(\pi/2n) = \begin{cases} 0 &\;\text{if }n\text{ is even}\\ (1)^{(n1)/2} &\;\text{if }n\text{ is odd} \end{cases}\]

edr1c
 2 years ago
Best ResponseYou've already chosen the best response.0oh. so if i want n to represent for all n, change n into 2n if n is odd gives 0, and change n into 2n1 if n is even gives 0?
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