Solve -y=csc^-1(2x-1)

$$- y = \csc ^ { - 1 } ( 2 x - 1 )$$

Solve for y

$$y=-\arcsin(\frac{1}{2x-1})$$

$$x\geq 1\text{ or }x\leq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$-y=\arccsc(2x-1)$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{\arcsin(\frac{1}{2x-1})}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{\arcsin(\frac{1}{2x-1})}{-1}$$

Divide \arcsin(\frac{1}{2x-1}) by -1.

$$y=-\arcsin(\frac{1}{2x-1})$$

Solve for x

$$x=\frac{-\frac{1}{\sin(y)}+1}{2}$$

$$y\geq -\frac{\pi }{2}\text{ and }y\neq 0\text{ and }y\leq \frac{\pi }{2}$$