Solve sinx=h/1,4

$$\sin x = \frac { h } { 1,4 }$$

Solve for h

$$h=\frac{7\sin(x)}{5}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{h}{1,4}=\sin(x)$$

The equation is in standard form.

$$\frac{5}{7}h=\sin(x)$$

Divide both sides of the equation by \frac{5}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{7}h}{\frac{5}{7}}=\frac{\sin(x)}{\frac{5}{7}}$$

Dividing by \frac{5}{7} undoes the multiplication by \frac{5}{7}.

$$h=\frac{\sin(x)}{\frac{5}{7}}$$

Divide \sin(x) by \frac{5}{7} by multiplying \sin(x) by the reciprocal of \frac{5}{7}.

$$h=\frac{7\sin(x)}{5}$$

Solve for x

$$x=-\arcsin(\frac{5h}{7})+2\pi n_{1}+\pi \text{, }n_{1}\in \mathrm{Z}$$

$$x=\arcsin(\frac{5h}{7})+2\pi n_{2}\text{, }n_{2}\in \mathrm{Z}\text{, }|h|\leq \frac{7}{5}$$