Final answer to the problem
$x=\frac{1}{6}\pi+2\pi n,\:x=\frac{5}{6}\pi+2\pi n\:,\:\:n\in\Z$
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1
Apply the formula: $x+a=b$$\to x=b-a$, where $a=-1$, $b=0$, $x+a=b=2\sin\left(x\right)-1=0$, $x=2\sin\left(x\right)$ and $x+a=2\sin\left(x\right)-1$
$2\sin\left(x\right)=0- -1$
Learn how to solve equazioni trigonometriche problems step by step online.
$2\sin\left(x\right)=0- -1$
Learn how to solve equazioni trigonometriche problems step by step online. 2sin(x)-1=0. Apply the formula: x+a=b\to x=b-a, where a=-1, b=0, x+a=b=2\sin\left(x\right)-1=0, x=2\sin\left(x\right) and x+a=2\sin\left(x\right)-1. Apply the formula: ab=ab, where ab=- -1, a=-1 and b=-1. Apply the formula: ax=b\to x=\frac{b}{a}, where a=2, b=1 and x=\sin\left(x\right). The angles where the function \sin\left(x\right) is 0 are.
Final answer to the problem
$x=\frac{1}{6}\pi+2\pi n,\:x=\frac{5}{6}\pi+2\pi n\:,\:\:n\in\Z$
