Solve alpha=operatorname{arctg}0,48/1,5quadalpha=?

$$\alpha = \operatorname { arctg } \frac { 0,48 } { 1,5 } \quad \alpha = ?$$

Solve for α

$$\alpha =0$$

Steps for Solving Linear Equation

Expand \frac{0,48}{1,5} by multiplying both numerator and the denominator by 100.

$$\alpha =\arctan(\frac{48}{150})\alpha$$

Reduce the fraction \frac{48}{150} to lowest terms by extracting and canceling out 6.

$$\alpha =\arctan(\frac{8}{25})\alpha$$

Subtract \arctan(\frac{8}{25})\alpha from both sides.

$$\alpha -\arctan(\frac{8}{25})\alpha =0$$

Reorder the terms.

$$-\arctan(\frac{8}{25})\alpha +\alpha =0$$

Combine all terms containing \alpha .

$$\left(-\arctan(\frac{8}{25})+1\right)\alpha =0$$

The equation is in standard form.

$$\left(1-\arctan(\frac{8}{25})\right)\alpha =0$$

Divide 0 by -\arctan(\frac{8}{25})+1.

$$\alpha =0$$