Question

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Resolva a Equação:

Answer 1

$\sin \left(\frac{\pi }{3}+x\right)+\cos \left(\frac{\pi }{6}+x\right)=\sqrt{3}\\\\\sqrt{3}\cos \left(x\right)=\sqrt{3}\\\\\sqrt{3}\cos \left(x\right)-\sqrt{3}=0\\\\\sqrt{3}\cos \left(x\right)-\sqrt{3}+\sqrt{3}=0+\sqrt{3}\\\\\sqrt{3}\cos \left(x\right)=\sqrt{3}\\\\\frac{\sqrt{3}\cos \left(x\right)}{\sqrt{3}}=\frac{\sqrt{3}}{\sqrt{3}}\\\\\cos \left(x\right)=1\\\\x=0+2\pi n\\\\x=2\pi n$