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- We consider the Complex numbers $x, y, z$ with modulus 1 with the property that:$$x+y+z=0$$and the set $$A=\left\{(\alpha, \beta, \gamma) \in \mathbb{R}^{3}, \sin \alpha+\sin \beta+\sin \gamma=0\right.\hspace{0.2cm}\text{and}\cos \alpha+\cos \beta+\cos \gamma=0\}$$a) SHow that:$$x^{2}+y^{2}+z^{2}=x y+y z+z x=0$$b) For $(\alpha, \beta, \gamma) \in A$, calculate:$$\sin 2 \alpha+\sin 2 \beta+\sin 2 \gamma$$c) SHow that if $n \in \mathbb{N}^{*}$ then, for every$$(\alpha, \beta, \gamma) \in A \text {, }$$$\sin n \alpha+\sin n \beta+\sin n \gamma=0$ if and only if " $n$ " is not a multiple of 3. Please check the attached picture for details. Please write the complete solution. Thanks in advance.riemann from 0 to 2 of 2x+1Can i get a solution form yall for the attached?
- (√2 cis (7π/24))^8 *Use de Moivre's Theorem to find the following. Write your answer in standard form.Show that AB=I and BA=I . pls show your solution in paperThe Wronskian1. Show that the functions ex, cos x and sin x are linearly independent.2. Show that 1, sin2 x and cos2 x are linearly dependent.