What is the general solution for sinh(npi)=0 ?

The general solution for sinh(npi)=0 is No Solution for n\in\mathbb{R}

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sinh(npi)=0

sinh (nπ) = 0

No Solution for n \in R

Solution steps

sinh (nπ) = 0

Rewrite using trig identities

\frac{e ^{nπ} - e ^{- nπ}}{2} = 0

\frac{e ^{nπ} - e ^{- nπ}}{2} = 0 : n = 0

n = 0

Since the equation is undefined for:

0

No Solution for n \in R

x, z = sin (x y^{2})

3 sin^{2} (θ) + 2 cos (2 θ) = 1

sin^{4} (x) = 1

2 sin (x) cos (x) + 2 sin (x) = 0, 0 \leq x < 2 π

(cos (x) + 1) = 0

What is the general solution for sinh(npi)=0 ?
The general solution for sinh(npi)=0 is No Solution for n\in\mathbb{R}