Trigonometry (11th Edition) Clone

The first three tenth roots of 1 are: 1 $0.809+0.588~i$ $0.309+0.951~i$
We can find the first three tenth roots of 1: $\theta = 0^{\circ}$: $1^{1/10} = cos~\theta^{\circ}+i~sin~\theta^{\circ}$ $1^{1/10} = cos~0^{\circ}+i~sin~0^{\circ}$ $1^{1/10} = 1+0i$ $\theta = 36^{\circ}$: $1^{1/10} = cos~\theta^{\circ}+i~sin~\theta^{\circ}$ $1^{1/10} = cos~36^{\circ}+i~sin~36^{\circ}$ $1^{1/10} = 0.809+0.588~i$ $\theta = 72^{\circ}$: $1^{1/10} = cos~\theta^{\circ}+i~sin~\theta^{\circ}$ $1^{1/10} = cos~72^{\circ}+i~sin~72^{\circ}$ $1^{1/10} = 0.309+0.951~i$